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Simplifying 5(5 + 2x) + -7(2x + -5) = 12 (5 * 5 + 2x * 5) + -7(2x + -5) = 12 (25 + 10x) + -7(2x + -5) = 12 Reorder the terms: 25 + 10x + -7(-5 + 2x) = 12 25 + 10x + (-5 * -7 + 2x * -7) = 12 25 + 10x + (35 + -14x) = 12 Reorder the terms: 25 + 35 + 10x + -14x = 12 Combine like terms: 25 + 35 = 60 60 + 10x + -14x = 12 Combine like terms: 10x + -14x = -4x 60 + -4x = 12 Solving 60 + -4x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -4x = 12 + -60 Combine like terms: 60 + -60 = 0 0 + -4x = 12 + -60 -4x = 12 + -60 Combine like terms: 12 + -60 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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