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Simplifying 0.1(x + 187) = -2(3 + -1x) Reorder the terms: 0.1(187 + x) = -2(3 + -1x) (187 * 0.1 + x * 0.1) = -2(3 + -1x) (18.7 + 0.1x) = -2(3 + -1x) 18.7 + 0.1x = (3 * -2 + -1x * -2) 18.7 + 0.1x = (-6 + 2x) Solving 18.7 + 0.1x = -6 + 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. 18.7 + 0.1x + -2x = -6 + 2x + -2x Combine like terms: 0.1x + -2x = -1.9x 18.7 + -1.9x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 18.7 + -1.9x = -6 + 0 18.7 + -1.9x = -6 Add '-18.7' to each side of the equation. 18.7 + -18.7 + -1.9x = -6 + -18.7 Combine like terms: 18.7 + -18.7 = 0.0 0.0 + -1.9x = -6 + -18.7 -1.9x = -6 + -18.7 Combine like terms: -6 + -18.7 = -24.7 -1.9x = -24.7 Divide each side by '-1.9'. x = 13 Simplifying x = 13
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