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Simplifying 8(1 + -1x) + 9 = 5(3 + x) (1 * 8 + -1x * 8) + 9 = 5(3 + x) (8 + -8x) + 9 = 5(3 + x) Reorder the terms: 8 + 9 + -8x = 5(3 + x) Combine like terms: 8 + 9 = 17 17 + -8x = 5(3 + x) 17 + -8x = (3 * 5 + x * 5) 17 + -8x = (15 + 5x) Solving 17 + -8x = 15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 17 + -8x + -5x = 15 + 5x + -5x Combine like terms: -8x + -5x = -13x 17 + -13x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + -13x = 15 + 0 17 + -13x = 15 Add '-17' to each side of the equation. 17 + -17 + -13x = 15 + -17 Combine like terms: 17 + -17 = 0 0 + -13x = 15 + -17 -13x = 15 + -17 Combine like terms: 15 + -17 = -2 -13x = -2 Divide each side by '-13'. x = 0.1538461538 Simplifying x = 0.1538461538
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