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Simplifying 8(x + -11) = -2(x + -41) Reorder the terms: 8(-11 + x) = -2(x + -41) (-11 * 8 + x * 8) = -2(x + -41) (-88 + 8x) = -2(x + -41) Reorder the terms: -88 + 8x = -2(-41 + x) -88 + 8x = (-41 * -2 + x * -2) -88 + 8x = (82 + -2x) Solving -88 + 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. -88 + 8x + 2x = 82 + -2x + 2x Combine like terms: 8x + 2x = 10x -88 + 10x = 82 + -2x + 2x Combine like terms: -2x + 2x = 0 -88 + 10x = 82 + 0 -88 + 10x = 82 Add '88' to each side of the equation. -88 + 88 + 10x = 82 + 88 Combine like terms: -88 + 88 = 0 0 + 10x = 82 + 88 10x = 82 + 88 Combine like terms: 82 + 88 = 170 10x = 170 Divide each side by '10'. x = 17 Simplifying x = 17
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