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Simplifying 9(2x + 1) = 3(5x + -3) Reorder the terms: 9(1 + 2x) = 3(5x + -3) (1 * 9 + 2x * 9) = 3(5x + -3) (9 + 18x) = 3(5x + -3) Reorder the terms: 9 + 18x = 3(-3 + 5x) 9 + 18x = (-3 * 3 + 5x * 3) 9 + 18x = (-9 + 15x) Solving 9 + 18x = -9 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 9 + 18x + -15x = -9 + 15x + -15x Combine like terms: 18x + -15x = 3x 9 + 3x = -9 + 15x + -15x Combine like terms: 15x + -15x = 0 9 + 3x = -9 + 0 9 + 3x = -9 Add '-9' to each side of the equation. 9 + -9 + 3x = -9 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = -9 + -9 3x = -9 + -9 Combine like terms: -9 + -9 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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