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Simplifying 4(2x + -5) + -3(2x + -5) = 29 Reorder the terms: 4(-5 + 2x) + -3(2x + -5) = 29 (-5 * 4 + 2x * 4) + -3(2x + -5) = 29 (-20 + 8x) + -3(2x + -5) = 29 Reorder the terms: -20 + 8x + -3(-5 + 2x) = 29 -20 + 8x + (-5 * -3 + 2x * -3) = 29 -20 + 8x + (15 + -6x) = 29 Reorder the terms: -20 + 15 + 8x + -6x = 29 Combine like terms: -20 + 15 = -5 -5 + 8x + -6x = 29 Combine like terms: 8x + -6x = 2x -5 + 2x = 29 Solving -5 + 2x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2x = 29 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 29 + 5 2x = 29 + 5 Combine like terms: 29 + 5 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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