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Simplifying 7(x + -8) + 2(x + -8) = 18 Reorder the terms: 7(-8 + x) + 2(x + -8) = 18 (-8 * 7 + x * 7) + 2(x + -8) = 18 (-56 + 7x) + 2(x + -8) = 18 Reorder the terms: -56 + 7x + 2(-8 + x) = 18 -56 + 7x + (-8 * 2 + x * 2) = 18 -56 + 7x + (-16 + 2x) = 18 Reorder the terms: -56 + -16 + 7x + 2x = 18 Combine like terms: -56 + -16 = -72 -72 + 7x + 2x = 18 Combine like terms: 7x + 2x = 9x -72 + 9x = 18 Solving -72 + 9x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + 9x = 18 + 72 Combine like terms: -72 + 72 = 0 0 + 9x = 18 + 72 9x = 18 + 72 Combine like terms: 18 + 72 = 90 9x = 90 Divide each side by '9'. x = 10 Simplifying x = 10
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