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Simplifying 56(-32 + -48x) + 36 = 6(-33x + -18) + -10x (-32 * 56 + -48x * 56) + 36 = 6(-33x + -18) + -10x (-1792 + -2688x) + 36 = 6(-33x + -18) + -10x Reorder the terms: -1792 + 36 + -2688x = 6(-33x + -18) + -10x Combine like terms: -1792 + 36 = -1756 -1756 + -2688x = 6(-33x + -18) + -10x Reorder the terms: -1756 + -2688x = 6(-18 + -33x) + -10x -1756 + -2688x = (-18 * 6 + -33x * 6) + -10x -1756 + -2688x = (-108 + -198x) + -10x Combine like terms: -198x + -10x = -208x -1756 + -2688x = -108 + -208x Solving -1756 + -2688x = -108 + -208x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '208x' to each side of the equation. -1756 + -2688x + 208x = -108 + -208x + 208x Combine like terms: -2688x + 208x = -2480x -1756 + -2480x = -108 + -208x + 208x Combine like terms: -208x + 208x = 0 -1756 + -2480x = -108 + 0 -1756 + -2480x = -108 Add '1756' to each side of the equation. -1756 + 1756 + -2480x = -108 + 1756 Combine like terms: -1756 + 1756 = 0 0 + -2480x = -108 + 1756 -2480x = -108 + 1756 Combine like terms: -108 + 1756 = 1648 -2480x = 1648 Divide each side by '-2480'. x = -0.664516129 Simplifying x = -0.664516129
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