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Simplifying -8(x + -10) = 2(x + 10) Reorder the terms: -8(-10 + x) = 2(x + 10) (-10 * -8 + x * -8) = 2(x + 10) (80 + -8x) = 2(x + 10) Reorder the terms: 80 + -8x = 2(10 + x) 80 + -8x = (10 * 2 + x * 2) 80 + -8x = (20 + 2x) Solving 80 + -8x = 20 + 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. 80 + -8x + -2x = 20 + 2x + -2x Combine like terms: -8x + -2x = -10x 80 + -10x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 80 + -10x = 20 + 0 80 + -10x = 20 Add '-80' to each side of the equation. 80 + -80 + -10x = 20 + -80 Combine like terms: 80 + -80 = 0 0 + -10x = 20 + -80 -10x = 20 + -80 Combine like terms: 20 + -80 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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