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Simplifying 2(2x + 5) + -3(x + -5) = 12 Reorder the terms: 2(5 + 2x) + -3(x + -5) = 12 (5 * 2 + 2x * 2) + -3(x + -5) = 12 (10 + 4x) + -3(x + -5) = 12 Reorder the terms: 10 + 4x + -3(-5 + x) = 12 10 + 4x + (-5 * -3 + x * -3) = 12 10 + 4x + (15 + -3x) = 12 Reorder the terms: 10 + 15 + 4x + -3x = 12 Combine like terms: 10 + 15 = 25 25 + 4x + -3x = 12 Combine like terms: 4x + -3x = 1x 25 + 1x = 12 Solving 25 + 1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 1x = 12 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = 12 + -25 1x = 12 + -25 Combine like terms: 12 + -25 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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