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Simplifying 1.5(6x + 9) + -12 = -1(14x + -8) Reorder the terms: 1.5(9 + 6x) + -12 = -1(14x + -8) (9 * 1.5 + 6x * 1.5) + -12 = -1(14x + -8) (13.5 + 9x) + -12 = -1(14x + -8) Reorder the terms: 13.5 + -12 + 9x = -1(14x + -8) Combine like terms: 13.5 + -12 = 1.5 1.5 + 9x = -1(14x + -8) Reorder the terms: 1.5 + 9x = -1(-8 + 14x) 1.5 + 9x = (-8 * -1 + 14x * -1) 1.5 + 9x = (8 + -14x) Solving 1.5 + 9x = 8 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 1.5 + 9x + 14x = 8 + -14x + 14x Combine like terms: 9x + 14x = 23x 1.5 + 23x = 8 + -14x + 14x Combine like terms: -14x + 14x = 0 1.5 + 23x = 8 + 0 1.5 + 23x = 8 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 23x = 8 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 23x = 8 + -1.5 23x = 8 + -1.5 Combine like terms: 8 + -1.5 = 6.5 23x = 6.5 Divide each side by '23'. x = 0.2826086957 Simplifying x = 0.2826086957
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