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Simplifying 3(5x + 3) = 2(x + -1) Reorder the terms: 3(3 + 5x) = 2(x + -1) (3 * 3 + 5x * 3) = 2(x + -1) (9 + 15x) = 2(x + -1) Reorder the terms: 9 + 15x = 2(-1 + x) 9 + 15x = (-1 * 2 + x * 2) 9 + 15x = (-2 + 2x) Solving 9 + 15x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + 15x + -2x = -2 + 2x + -2x Combine like terms: 15x + -2x = 13x 9 + 13x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 13x = -2 + 0 9 + 13x = -2 Add '-9' to each side of the equation. 9 + -9 + 13x = -2 + -9 Combine like terms: 9 + -9 = 0 0 + 13x = -2 + -9 13x = -2 + -9 Combine like terms: -2 + -9 = -11 13x = -11 Divide each side by '13'. x = -0.8461538462 Simplifying x = -0.8461538462
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