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Simplifying 0.10(x + 54) = -2(3 + -1x) Reorder the terms: 0.10(54 + x) = -2(3 + -1x) (54 * 0.10 + x * 0.10) = -2(3 + -1x) (5.4 + 0.10x) = -2(3 + -1x) 5.4 + 0.10x = (3 * -2 + -1x * -2) 5.4 + 0.10x = (-6 + 2x) Solving 5.4 + 0.10x = -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. 5.4 + 0.10x + -2x = -6 + 2x + -2x Combine like terms: 0.10x + -2x = -1.9x 5.4 + -1.9x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 5.4 + -1.9x = -6 + 0 5.4 + -1.9x = -6 Add '-5.4' to each side of the equation. 5.4 + -5.4 + -1.9x = -6 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + -1.9x = -6 + -5.4 -1.9x = -6 + -5.4 Combine like terms: -6 + -5.4 = -11.4 -1.9x = -11.4 Divide each side by '-1.9'. x = 6 Simplifying x = 6
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