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Simplifying -3(4 + x) + 4(9 + 2x) + -1x = 2(3x + 10) + 18 (4 * -3 + x * -3) + 4(9 + 2x) + -1x = 2(3x + 10) + 18 (-12 + -3x) + 4(9 + 2x) + -1x = 2(3x + 10) + 18 -12 + -3x + (9 * 4 + 2x * 4) + -1x = 2(3x + 10) + 18 -12 + -3x + (36 + 8x) + -1x = 2(3x + 10) + 18 Reorder the terms: -12 + 36 + -3x + 8x + -1x = 2(3x + 10) + 18 Combine like terms: -12 + 36 = 24 24 + -3x + 8x + -1x = 2(3x + 10) + 18 Combine like terms: -3x + 8x = 5x 24 + 5x + -1x = 2(3x + 10) + 18 Combine like terms: 5x + -1x = 4x 24 + 4x = 2(3x + 10) + 18 Reorder the terms: 24 + 4x = 2(10 + 3x) + 18 24 + 4x = (10 * 2 + 3x * 2) + 18 24 + 4x = (20 + 6x) + 18 Reorder the terms: 24 + 4x = 20 + 18 + 6x Combine like terms: 20 + 18 = 38 24 + 4x = 38 + 6x Solving 24 + 4x = 38 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 24 + 4x + -6x = 38 + 6x + -6x Combine like terms: 4x + -6x = -2x 24 + -2x = 38 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -2x = 38 + 0 24 + -2x = 38 Add '-24' to each side of the equation. 24 + -24 + -2x = 38 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = 38 + -24 -2x = 38 + -24 Combine like terms: 38 + -24 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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