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Simplifying 3(2x + 1) = 5(3x + -2) Reorder the terms: 3(1 + 2x) = 5(3x + -2) (1 * 3 + 2x * 3) = 5(3x + -2) (3 + 6x) = 5(3x + -2) Reorder the terms: 3 + 6x = 5(-2 + 3x) 3 + 6x = (-2 * 5 + 3x * 5) 3 + 6x = (-10 + 15x) Solving 3 + 6x = -10 + 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. 3 + 6x + -15x = -10 + 15x + -15x Combine like terms: 6x + -15x = -9x 3 + -9x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 3 + -9x = -10 + 0 3 + -9x = -10 Add '-3' to each side of the equation. 3 + -3 + -9x = -10 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = -10 + -3 -9x = -10 + -3 Combine like terms: -10 + -3 = -13 -9x = -13 Divide each side by '-9'. x = 1.444444444 Simplifying x = 1.444444444
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