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Simplifying -4x + -6(-4x + 17) = -282 Reorder the terms: -4x + -6(17 + -4x) = -282 -4x + (17 * -6 + -4x * -6) = -282 -4x + (-102 + 24x) = -282 Reorder the terms: -102 + -4x + 24x = -282 Combine like terms: -4x + 24x = 20x -102 + 20x = -282 Solving -102 + 20x = -282 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '102' to each side of the equation. -102 + 102 + 20x = -282 + 102 Combine like terms: -102 + 102 = 0 0 + 20x = -282 + 102 20x = -282 + 102 Combine like terms: -282 + 102 = -180 20x = -180 Divide each side by '20'. x = -9 Simplifying x = -9
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