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Simplifying -7(x + 8) + 2(x + -4) = -14 Reorder the terms: -7(8 + x) + 2(x + -4) = -14 (8 * -7 + x * -7) + 2(x + -4) = -14 (-56 + -7x) + 2(x + -4) = -14 Reorder the terms: -56 + -7x + 2(-4 + x) = -14 -56 + -7x + (-4 * 2 + x * 2) = -14 -56 + -7x + (-8 + 2x) = -14 Reorder the terms: -56 + -8 + -7x + 2x = -14 Combine like terms: -56 + -8 = -64 -64 + -7x + 2x = -14 Combine like terms: -7x + 2x = -5x -64 + -5x = -14 Solving -64 + -5x = -14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + -5x = -14 + 64 Combine like terms: -64 + 64 = 0 0 + -5x = -14 + 64 -5x = -14 + 64 Combine like terms: -14 + 64 = 50 -5x = 50 Divide each side by '-5'. x = -10 Simplifying x = -10
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