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Simplifying 29 = -2(4x + -5) + 3(3x + 6) Reorder the terms: 29 = -2(-5 + 4x) + 3(3x + 6) 29 = (-5 * -2 + 4x * -2) + 3(3x + 6) 29 = (10 + -8x) + 3(3x + 6) Reorder the terms: 29 = 10 + -8x + 3(6 + 3x) 29 = 10 + -8x + (6 * 3 + 3x * 3) 29 = 10 + -8x + (18 + 9x) Reorder the terms: 29 = 10 + 18 + -8x + 9x Combine like terms: 10 + 18 = 28 29 = 28 + -8x + 9x Combine like terms: -8x + 9x = 1x 29 = 28 + 1x Solving 29 = 28 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 29 + -1x = 28 + 1x + -1x Combine like terms: 1x + -1x = 0 29 + -1x = 28 + 0 29 + -1x = 28 Add '-29' to each side of the equation. 29 + -29 + -1x = 28 + -29 Combine like terms: 29 + -29 = 0 0 + -1x = 28 + -29 -1x = 28 + -29 Combine like terms: 28 + -29 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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