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Simplifying 48 + -1(x + x + -15 + x + -18) + 50 + -1(x + x + -15 + x + -25) + 45 + -1(x + x + -25 + x + -18) + 5 = 100 Reorder the terms: 48 + -1(-15 + -18 + x + x + x) + 50 + -1(x + x + -15 + x + -25) + 45 + -1(x + x + -25 + x + -18) + 5 = 100 Combine like terms: -15 + -18 = -33 48 + -1(-33 + x + x + x) + 50 + -1(x + x + -15 + x + -25) + 45 + -1(x + x + -25 + x + -18) + 5 = 100 Combine like terms: x + x = 2x 48 + -1(-33 + 2x + x) + 50 + -1(x + x + -15 + x + -25) + 45 + -1(x + x + -25 + x + -18) + 5 = 100 Combine like terms: 2x + x = 3x 48 + -1(-33 + 3x) + 50 + -1(x + x + -15 + x + -25) + 45 + -1(x + x + -25 + x + -18) + 5 = 100 48 + (-33 * -1 + 3x * -1) + 50 + -1(x + x + -15 + x + -25) + 45 + -1(x + x + -25 + x + -18) + 5 = 100 48 + (33 + -3x) + 50 + -1(x + x + -15 + x + -25) + 45 + -1(x + x + -25 + x + -18) + 5 = 100 Reorder the terms: 48 + 33 + -3x + 50 + -1(-15 + -25 + x + x + x) + 45 + -1(x + x + -25 + x + -18) + 5 = 100 Combine like terms: -15 + -25 = -40 48 + 33 + -3x + 50 + -1(-40 + x + x + x) + 45 + -1(x + x + -25 + x + -18) + 5 = 100 Combine like terms: x + x = 2x 48 + 33 + -3x + 50 + -1(-40 + 2x + x) + 45 + -1(x + x + -25 + x + -18) + 5 = 100 Combine like terms: 2x + x = 3x 48 + 33 + -3x + 50 + -1(-40 + 3x) + 45 + -1(x + x + -25 + x + -18) + 5 = 100 48 + 33 + -3x + 50 + (-40 * -1 + 3x * -1) + 45 + -1(x + x + -25 + x + -18) + 5 = 100 48 + 33 + -3x + 50 + (40 + -3x) + 45 + -1(x + x + -25 + x + -18) + 5 = 100 Reorder the terms: 48 + 33 + -3x + 50 + 40 + -3x + 45 + -1(-25 + -18 + x + x + x) + 5 = 100 Combine like terms: -25 + -18 = -43 48 + 33 + -3x + 50 + 40 + -3x + 45 + -1(-43 + x + x + x) + 5 = 100 Combine like terms: x + x = 2x 48 + 33 + -3x + 50 + 40 + -3x + 45 + -1(-43 + 2x + x) + 5 = 100 Combine like terms: 2x + x = 3x 48 + 33 + -3x + 50 + 40 + -3x + 45 + -1(-43 + 3x) + 5 = 100 48 + 33 + -3x + 50 + 40 + -3x + 45 + (-43 * -1 + 3x * -1) + 5 = 100 48 + 33 + -3x + 50 + 40 + -3x + 45 + (43 + -3x) + 5 = 100 Reorder the terms: 48 + 33 + 50 + 40 + 45 + 43 + 5 + -3x + -3x + -3x = 100 Combine like terms: 48 + 33 = 81 81 + 50 + 40 + 45 + 43 + 5 + -3x + -3x + -3x = 100 Combine like terms: 81 + 50 = 131 131 + 40 + 45 + 43 + 5 + -3x + -3x + -3x = 100 Combine like terms: 131 + 40 = 171 171 + 45 + 43 + 5 + -3x + -3x + -3x = 100 Combine like terms: 171 + 45 = 216 216 + 43 + 5 + -3x + -3x + -3x = 100 Combine like terms: 216 + 43 = 259 259 + 5 + -3x + -3x + -3x = 100 Combine like terms: 259 + 5 = 264 264 + -3x + -3x + -3x = 100 Combine like terms: -3x + -3x = -6x 264 + -6x + -3x = 100 Combine like terms: -6x + -3x = -9x 264 + -9x = 100 Solving 264 + -9x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-264' to each side of the equation. 264 + -264 + -9x = 100 + -264 Combine like terms: 264 + -264 = 0 0 + -9x = 100 + -264 -9x = 100 + -264 Combine like terms: 100 + -264 = -164 -9x = -164 Divide each side by '-9'. x = 18.22222222 Simplifying x = 18.22222222
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