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Simplifying -2(-1x + 10) = -6(12x + -9) Reorder the terms: -2(10 + -1x) = -6(12x + -9) (10 * -2 + -1x * -2) = -6(12x + -9) (-20 + 2x) = -6(12x + -9) Reorder the terms: -20 + 2x = -6(-9 + 12x) -20 + 2x = (-9 * -6 + 12x * -6) -20 + 2x = (54 + -72x) Solving -20 + 2x = 54 + -72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72x' to each side of the equation. -20 + 2x + 72x = 54 + -72x + 72x Combine like terms: 2x + 72x = 74x -20 + 74x = 54 + -72x + 72x Combine like terms: -72x + 72x = 0 -20 + 74x = 54 + 0 -20 + 74x = 54 Add '20' to each side of the equation. -20 + 20 + 74x = 54 + 20 Combine like terms: -20 + 20 = 0 0 + 74x = 54 + 20 74x = 54 + 20 Combine like terms: 54 + 20 = 74 74x = 74 Divide each side by '74'. x = 1 Simplifying x = 1
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