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Simplifying 5(3x + 2) = 9(x + -1) Reorder the terms: 5(2 + 3x) = 9(x + -1) (2 * 5 + 3x * 5) = 9(x + -1) (10 + 15x) = 9(x + -1) Reorder the terms: 10 + 15x = 9(-1 + x) 10 + 15x = (-1 * 9 + x * 9) 10 + 15x = (-9 + 9x) Solving 10 + 15x = -9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 10 + 15x + -9x = -9 + 9x + -9x Combine like terms: 15x + -9x = 6x 10 + 6x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + 6x = -9 + 0 10 + 6x = -9 Add '-10' to each side of the equation. 10 + -10 + 6x = -9 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = -9 + -10 6x = -9 + -10 Combine like terms: -9 + -10 = -19 6x = -19 Divide each side by '6'. x = -3.166666667 Simplifying x = -3.166666667
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