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Simplifying 0.1(x + 31) = -2(7 + -1x) Reorder the terms: 0.1(31 + x) = -2(7 + -1x) (31 * 0.1 + x * 0.1) = -2(7 + -1x) (3.1 + 0.1x) = -2(7 + -1x) 3.1 + 0.1x = (7 * -2 + -1x * -2) 3.1 + 0.1x = (-14 + 2x) Solving 3.1 + 0.1x = -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. 3.1 + 0.1x + -2x = -14 + 2x + -2x Combine like terms: 0.1x + -2x = -1.9x 3.1 + -1.9x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 3.1 + -1.9x = -14 + 0 3.1 + -1.9x = -14 Add '-3.1' to each side of the equation. 3.1 + -3.1 + -1.9x = -14 + -3.1 Combine like terms: 3.1 + -3.1 = 0.0 0.0 + -1.9x = -14 + -3.1 -1.9x = -14 + -3.1 Combine like terms: -14 + -3.1 = -17.1 -1.9x = -17.1 Divide each side by '-1.9'. x = 9 Simplifying x = 9
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