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Simplifying 10(x + 52) = -2(5 + -1x) Reorder the terms: 10(52 + x) = -2(5 + -1x) (52 * 10 + x * 10) = -2(5 + -1x) (520 + 10x) = -2(5 + -1x) 520 + 10x = (5 * -2 + -1x * -2) 520 + 10x = (-10 + 2x) Solving 520 + 10x = -10 + 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. 520 + 10x + -2x = -10 + 2x + -2x Combine like terms: 10x + -2x = 8x 520 + 8x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 520 + 8x = -10 + 0 520 + 8x = -10 Add '-520' to each side of the equation. 520 + -520 + 8x = -10 + -520 Combine like terms: 520 + -520 = 0 0 + 8x = -10 + -520 8x = -10 + -520 Combine like terms: -10 + -520 = -530 8x = -530 Divide each side by '8'. x = -66.25 Simplifying x = -66.25
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