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Simplifying 3(6 + -1x) + 2(-1x + 4) = -4x + 29 (6 * 3 + -1x * 3) + 2(-1x + 4) = -4x + 29 (18 + -3x) + 2(-1x + 4) = -4x + 29 Reorder the terms: 18 + -3x + 2(4 + -1x) = -4x + 29 18 + -3x + (4 * 2 + -1x * 2) = -4x + 29 18 + -3x + (8 + -2x) = -4x + 29 Reorder the terms: 18 + 8 + -3x + -2x = -4x + 29 Combine like terms: 18 + 8 = 26 26 + -3x + -2x = -4x + 29 Combine like terms: -3x + -2x = -5x 26 + -5x = -4x + 29 Reorder the terms: 26 + -5x = 29 + -4x Solving 26 + -5x = 29 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 26 + -5x + 4x = 29 + -4x + 4x Combine like terms: -5x + 4x = -1x 26 + -1x = 29 + -4x + 4x Combine like terms: -4x + 4x = 0 26 + -1x = 29 + 0 26 + -1x = 29 Add '-26' to each side of the equation. 26 + -26 + -1x = 29 + -26 Combine like terms: 26 + -26 = 0 0 + -1x = 29 + -26 -1x = 29 + -26 Combine like terms: 29 + -26 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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