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Simplifying 2(2x + 1) + -3(2x + -5) = 29 Reorder the terms: 2(1 + 2x) + -3(2x + -5) = 29 (1 * 2 + 2x * 2) + -3(2x + -5) = 29 (2 + 4x) + -3(2x + -5) = 29 Reorder the terms: 2 + 4x + -3(-5 + 2x) = 29 2 + 4x + (-5 * -3 + 2x * -3) = 29 2 + 4x + (15 + -6x) = 29 Reorder the terms: 2 + 15 + 4x + -6x = 29 Combine like terms: 2 + 15 = 17 17 + 4x + -6x = 29 Combine like terms: 4x + -6x = -2x 17 + -2x = 29 Solving 17 + -2x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -2x = 29 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 29 + -17 -2x = 29 + -17 Combine like terms: 29 + -17 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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