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Simplifying 0.1(x + 28) = -2(10 + -1x) Reorder the terms: 0.1(28 + x) = -2(10 + -1x) (28 * 0.1 + x * 0.1) = -2(10 + -1x) (2.8 + 0.1x) = -2(10 + -1x) 2.8 + 0.1x = (10 * -2 + -1x * -2) 2.8 + 0.1x = (-20 + 2x) Solving 2.8 + 0.1x = -20 + 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. 2.8 + 0.1x + -2x = -20 + 2x + -2x Combine like terms: 0.1x + -2x = -1.9x 2.8 + -1.9x = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 2.8 + -1.9x = -20 + 0 2.8 + -1.9x = -20 Add '-2.8' to each side of the equation. 2.8 + -2.8 + -1.9x = -20 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + -1.9x = -20 + -2.8 -1.9x = -20 + -2.8 Combine like terms: -20 + -2.8 = -22.8 -1.9x = -22.8 Divide each side by '-1.9'. x = 12 Simplifying x = 12
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