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Simplifying 7 + -2x + -1(-1x + -14) = 3 + x + -1(x + -3) Reorder the terms: 7 + -2x + -1(-14 + -1x) = 3 + x + -1(x + -3) 7 + -2x + (-14 * -1 + -1x * -1) = 3 + x + -1(x + -3) 7 + -2x + (14 + 1x) = 3 + x + -1(x + -3) Reorder the terms: 7 + 14 + -2x + 1x = 3 + x + -1(x + -3) Combine like terms: 7 + 14 = 21 21 + -2x + 1x = 3 + x + -1(x + -3) Combine like terms: -2x + 1x = -1x 21 + -1x = 3 + x + -1(x + -3) Reorder the terms: 21 + -1x = 3 + x + -1(-3 + x) 21 + -1x = 3 + x + (-3 * -1 + x * -1) 21 + -1x = 3 + x + (3 + -1x) Reorder the terms: 21 + -1x = 3 + 3 + x + -1x Combine like terms: 3 + 3 = 6 21 + -1x = 6 + x + -1x Combine like terms: x + -1x = 0 21 + -1x = 6 + 0 21 + -1x = 6 Solving 21 + -1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1x = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 6 + -21 -1x = 6 + -21 Combine like terms: 6 + -21 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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