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Simplifying 0.5(15 + 6x) + 10 = 12 + -1(10x) (15 * 0.5 + 6x * 0.5) + 10 = 12 + -1(10x) (7.5 + 3x) + 10 = 12 + -1(10x) Reorder the terms: 7.5 + 10 + 3x = 12 + -1(10x) Combine like terms: 7.5 + 10 = 17.5 17.5 + 3x = 12 + -1(10x) Remove parenthesis around (10x) 17.5 + 3x = 12 + -1 * 10x Multiply -1 * 10 17.5 + 3x = 12 + -10x Solving 17.5 + 3x = 12 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 17.5 + 3x + 10x = 12 + -10x + 10x Combine like terms: 3x + 10x = 13x 17.5 + 13x = 12 + -10x + 10x Combine like terms: -10x + 10x = 0 17.5 + 13x = 12 + 0 17.5 + 13x = 12 Add '-17.5' to each side of the equation. 17.5 + -17.5 + 13x = 12 + -17.5 Combine like terms: 17.5 + -17.5 = 0.0 0.0 + 13x = 12 + -17.5 13x = 12 + -17.5 Combine like terms: 12 + -17.5 = -5.5 13x = -5.5 Divide each side by '13'. x = -0.4230769231 Simplifying x = -0.4230769231
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