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Simplifying -72 = 3(x + -6) + 10(10 + -8x) Reorder the terms: -72 = 3(-6 + x) + 10(10 + -8x) -72 = (-6 * 3 + x * 3) + 10(10 + -8x) -72 = (-18 + 3x) + 10(10 + -8x) -72 = -18 + 3x + (10 * 10 + -8x * 10) -72 = -18 + 3x + (100 + -80x) Reorder the terms: -72 = -18 + 100 + 3x + -80x Combine like terms: -18 + 100 = 82 -72 = 82 + 3x + -80x Combine like terms: 3x + -80x = -77x -72 = 82 + -77x Solving -72 = 82 + -77x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '77x' to each side of the equation. -72 + 77x = 82 + -77x + 77x Combine like terms: -77x + 77x = 0 -72 + 77x = 82 + 0 -72 + 77x = 82 Add '72' to each side of the equation. -72 + 72 + 77x = 82 + 72 Combine like terms: -72 + 72 = 0 0 + 77x = 82 + 72 77x = 82 + 72 Combine like terms: 82 + 72 = 154 77x = 154 Divide each side by '77'. x = 2 Simplifying x = 2
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