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Simplifying -8(x + 3) = 2(x + -11) + 8 Reorder the terms: -8(3 + x) = 2(x + -11) + 8 (3 * -8 + x * -8) = 2(x + -11) + 8 (-24 + -8x) = 2(x + -11) + 8 Reorder the terms: -24 + -8x = 2(-11 + x) + 8 -24 + -8x = (-11 * 2 + x * 2) + 8 -24 + -8x = (-22 + 2x) + 8 Reorder the terms: -24 + -8x = -22 + 8 + 2x Combine like terms: -22 + 8 = -14 -24 + -8x = -14 + 2x Solving -24 + -8x = -14 + 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. -24 + -8x + -2x = -14 + 2x + -2x Combine like terms: -8x + -2x = -10x -24 + -10x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + -10x = -14 + 0 -24 + -10x = -14 Add '24' to each side of the equation. -24 + 24 + -10x = -14 + 24 Combine like terms: -24 + 24 = 0 0 + -10x = -14 + 24 -10x = -14 + 24 Combine like terms: -14 + 24 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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