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Simplifying -1(4x + -5) + -1(3x + -8) + 4 = -8(x + -5) + -1(2x + 8) + 4 Reorder the terms: -1(-5 + 4x) + -1(3x + -8) + 4 = -8(x + -5) + -1(2x + 8) + 4 (-5 * -1 + 4x * -1) + -1(3x + -8) + 4 = -8(x + -5) + -1(2x + 8) + 4 (5 + -4x) + -1(3x + -8) + 4 = -8(x + -5) + -1(2x + 8) + 4 Reorder the terms: 5 + -4x + -1(-8 + 3x) + 4 = -8(x + -5) + -1(2x + 8) + 4 5 + -4x + (-8 * -1 + 3x * -1) + 4 = -8(x + -5) + -1(2x + 8) + 4 5 + -4x + (8 + -3x) + 4 = -8(x + -5) + -1(2x + 8) + 4 Reorder the terms: 5 + 8 + 4 + -4x + -3x = -8(x + -5) + -1(2x + 8) + 4 Combine like terms: 5 + 8 = 13 13 + 4 + -4x + -3x = -8(x + -5) + -1(2x + 8) + 4 Combine like terms: 13 + 4 = 17 17 + -4x + -3x = -8(x + -5) + -1(2x + 8) + 4 Combine like terms: -4x + -3x = -7x 17 + -7x = -8(x + -5) + -1(2x + 8) + 4 Reorder the terms: 17 + -7x = -8(-5 + x) + -1(2x + 8) + 4 17 + -7x = (-5 * -8 + x * -8) + -1(2x + 8) + 4 17 + -7x = (40 + -8x) + -1(2x + 8) + 4 Reorder the terms: 17 + -7x = 40 + -8x + -1(8 + 2x) + 4 17 + -7x = 40 + -8x + (8 * -1 + 2x * -1) + 4 17 + -7x = 40 + -8x + (-8 + -2x) + 4 Reorder the terms: 17 + -7x = 40 + -8 + 4 + -8x + -2x Combine like terms: 40 + -8 = 32 17 + -7x = 32 + 4 + -8x + -2x Combine like terms: 32 + 4 = 36 17 + -7x = 36 + -8x + -2x Combine like terms: -8x + -2x = -10x 17 + -7x = 36 + -10x Solving 17 + -7x = 36 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 17 + -7x + 10x = 36 + -10x + 10x Combine like terms: -7x + 10x = 3x 17 + 3x = 36 + -10x + 10x Combine like terms: -10x + 10x = 0 17 + 3x = 36 + 0 17 + 3x = 36 Add '-17' to each side of the equation. 17 + -17 + 3x = 36 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = 36 + -17 3x = 36 + -17 Combine like terms: 36 + -17 = 19 3x = 19 Divide each side by '3'. x = 6.333333333 Simplifying x = 6.333333333
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