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Simplifying 10(x + 31) = -2(7 + -1x) Reorder the terms: 10(31 + x) = -2(7 + -1x) (31 * 10 + x * 10) = -2(7 + -1x) (310 + 10x) = -2(7 + -1x) 310 + 10x = (7 * -2 + -1x * -2) 310 + 10x = (-14 + 2x) Solving 310 + 10x = -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. 310 + 10x + -2x = -14 + 2x + -2x Combine like terms: 10x + -2x = 8x 310 + 8x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 310 + 8x = -14 + 0 310 + 8x = -14 Add '-310' to each side of the equation. 310 + -310 + 8x = -14 + -310 Combine like terms: 310 + -310 = 0 0 + 8x = -14 + -310 8x = -14 + -310 Combine like terms: -14 + -310 = -324 8x = -324 Divide each side by '8'. x = -40.5 Simplifying x = -40.5
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