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Simplifying 0.1(x + 70) = -2(6 + -1x) Reorder the terms: 0.1(70 + x) = -2(6 + -1x) (70 * 0.1 + x * 0.1) = -2(6 + -1x) (7 + 0.1x) = -2(6 + -1x) 7 + 0.1x = (6 * -2 + -1x * -2) 7 + 0.1x = (-12 + 2x) Solving 7 + 0.1x = -12 + 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. 7 + 0.1x + -2x = -12 + 2x + -2x Combine like terms: 0.1x + -2x = -1.9x 7 + -1.9x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -1.9x = -12 + 0 7 + -1.9x = -12 Add '-7' to each side of the equation. 7 + -7 + -1.9x = -12 + -7 Combine like terms: 7 + -7 = 0 0 + -1.9x = -12 + -7 -1.9x = -12 + -7 Combine like terms: -12 + -7 = -19 -1.9x = -19 Divide each side by '-1.9'. x = 10 Simplifying x = 10
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