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Simplifying 8(x + -9) = -2(x + 41) Reorder the terms: 8(-9 + x) = -2(x + 41) (-9 * 8 + x * 8) = -2(x + 41) (-72 + 8x) = -2(x + 41) Reorder the terms: -72 + 8x = -2(41 + x) -72 + 8x = (41 * -2 + x * -2) -72 + 8x = (-82 + -2x) Solving -72 + 8x = -82 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -72 + 8x + 2x = -82 + -2x + 2x Combine like terms: 8x + 2x = 10x -72 + 10x = -82 + -2x + 2x Combine like terms: -2x + 2x = 0 -72 + 10x = -82 + 0 -72 + 10x = -82 Add '72' to each side of the equation. -72 + 72 + 10x = -82 + 72 Combine like terms: -72 + 72 = 0 0 + 10x = -82 + 72 10x = -82 + 72 Combine like terms: -82 + 72 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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