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Simplifying 5(1 + -1x) = 6(1 + 2x) + 9 (1 * 5 + -1x * 5) = 6(1 + 2x) + 9 (5 + -5x) = 6(1 + 2x) + 9 5 + -5x = (1 * 6 + 2x * 6) + 9 5 + -5x = (6 + 12x) + 9 Reorder the terms: 5 + -5x = 6 + 9 + 12x Combine like terms: 6 + 9 = 15 5 + -5x = 15 + 12x Solving 5 + -5x = 15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 5 + -5x + -12x = 15 + 12x + -12x Combine like terms: -5x + -12x = -17x 5 + -17x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 5 + -17x = 15 + 0 5 + -17x = 15 Add '-5' to each side of the equation. 5 + -5 + -17x = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -17x = 15 + -5 -17x = 15 + -5 Combine like terms: 15 + -5 = 10 -17x = 10 Divide each side by '-17'. x = -0.5882352941 Simplifying x = -0.5882352941
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