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Simplifying 2(x + -5) + -3(x + 7) = 12 Reorder the terms: 2(-5 + x) + -3(x + 7) = 12 (-5 * 2 + x * 2) + -3(x + 7) = 12 (-10 + 2x) + -3(x + 7) = 12 Reorder the terms: -10 + 2x + -3(7 + x) = 12 -10 + 2x + (7 * -3 + x * -3) = 12 -10 + 2x + (-21 + -3x) = 12 Reorder the terms: -10 + -21 + 2x + -3x = 12 Combine like terms: -10 + -21 = -31 -31 + 2x + -3x = 12 Combine like terms: 2x + -3x = -1x -31 + -1x = 12 Solving -31 + -1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -1x = 12 + 31 Combine like terms: -31 + 31 = 0 0 + -1x = 12 + 31 -1x = 12 + 31 Combine like terms: 12 + 31 = 43 -1x = 43 Divide each side by '-1'. x = -43 Simplifying x = -43
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