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Simplifying -8(x + 2) = 2(x + -13) Reorder the terms: -8(2 + x) = 2(x + -13) (2 * -8 + x * -8) = 2(x + -13) (-16 + -8x) = 2(x + -13) Reorder the terms: -16 + -8x = 2(-13 + x) -16 + -8x = (-13 * 2 + x * 2) -16 + -8x = (-26 + 2x) Solving -16 + -8x = -26 + 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. -16 + -8x + -2x = -26 + 2x + -2x Combine like terms: -8x + -2x = -10x -16 + -10x = -26 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + -10x = -26 + 0 -16 + -10x = -26 Add '16' to each side of the equation. -16 + 16 + -10x = -26 + 16 Combine like terms: -16 + 16 = 0 0 + -10x = -26 + 16 -10x = -26 + 16 Combine like terms: -26 + 16 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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