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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 = 13 13 + 4x + -6x = 29 Combine like terms: 4x + -6x = -2x 13 + -2x = 29 Solving 13 + -2x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2x = 29 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 29 + -13 -2x = 29 + -13 Combine like terms: 29 + -13 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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