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Simplifying 29 + -1(5x + -6) = 15 + (3 + -2x) Reorder the terms: 29 + -1(-6 + 5x) = 15 + (3 + -2x) 29 + (-6 * -1 + 5x * -1) = 15 + (3 + -2x) 29 + (6 + -5x) = 15 + (3 + -2x) Combine like terms: 29 + 6 = 35 35 + -5x = 15 + (3 + -2x) Remove parenthesis around (3 + -2x) 35 + -5x = 15 + 3 + -2x Combine like terms: 15 + 3 = 18 35 + -5x = 18 + -2x Solving 35 + -5x = 18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 35 + -5x + 2x = 18 + -2x + 2x Combine like terms: -5x + 2x = -3x 35 + -3x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 35 + -3x = 18 + 0 35 + -3x = 18 Add '-35' to each side of the equation. 35 + -35 + -3x = 18 + -35 Combine like terms: 35 + -35 = 0 0 + -3x = 18 + -35 -3x = 18 + -35 Combine like terms: 18 + -35 = -17 -3x = -17 Divide each side by '-3'. x = 5.666666667 Simplifying x = 5.666666667
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