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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 = 6x -72 + 6x = 82 + 2x + -2x Combine like terms: 2x + -2x = 0 -72 + 6x = 82 + 0 -72 + 6x = 82 Add '72' to each side of the equation. -72 + 72 + 6x = 82 + 72 Combine like terms: -72 + 72 = 0 0 + 6x = 82 + 72 6x = 82 + 72 Combine like terms: 82 + 72 = 154 6x = 154 Divide each side by '6'. x = 25.66666667 Simplifying x = 25.66666667
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