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Simplifying 0.1(x + 51) = -2(6 + -1x) Reorder the terms: 0.1(51 + x) = -2(6 + -1x) (51 * 0.1 + x * 0.1) = -2(6 + -1x) (5.1 + 0.1x) = -2(6 + -1x) 5.1 + 0.1x = (6 * -2 + -1x * -2) 5.1 + 0.1x = (-12 + 2x) Solving 5.1 + 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. 5.1 + 0.1x + -2x = -12 + 2x + -2x Combine like terms: 0.1x + -2x = -1.9x 5.1 + -1.9x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 5.1 + -1.9x = -12 + 0 5.1 + -1.9x = -12 Add '-5.1' to each side of the equation. 5.1 + -5.1 + -1.9x = -12 + -5.1 Combine like terms: 5.1 + -5.1 = 0.0 0.0 + -1.9x = -12 + -5.1 -1.9x = -12 + -5.1 Combine like terms: -12 + -5.1 = -17.1 -1.9x = -17.1 Divide each side by '-1.9'. x = 9 Simplifying x = 9
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