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Simplifying 2(x + -5) + -7(2x + 2) = 12 Reorder the terms: 2(-5 + x) + -7(2x + 2) = 12 (-5 * 2 + x * 2) + -7(2x + 2) = 12 (-10 + 2x) + -7(2x + 2) = 12 Reorder the terms: -10 + 2x + -7(2 + 2x) = 12 -10 + 2x + (2 * -7 + 2x * -7) = 12 -10 + 2x + (-14 + -14x) = 12 Reorder the terms: -10 + -14 + 2x + -14x = 12 Combine like terms: -10 + -14 = -24 -24 + 2x + -14x = 12 Combine like terms: 2x + -14x = -12x -24 + -12x = 12 Solving -24 + -12x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -12x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -12x = 12 + 24 -12x = 12 + 24 Combine like terms: 12 + 24 = 36 -12x = 36 Divide each side by '-12'. x = -3 Simplifying x = -3
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