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Simplifying 2(2x + 3) = 5(3x + -1) Reorder the terms: 2(3 + 2x) = 5(3x + -1) (3 * 2 + 2x * 2) = 5(3x + -1) (6 + 4x) = 5(3x + -1) Reorder the terms: 6 + 4x = 5(-1 + 3x) 6 + 4x = (-1 * 5 + 3x * 5) 6 + 4x = (-5 + 15x) Solving 6 + 4x = -5 + 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. 6 + 4x + -15x = -5 + 15x + -15x Combine like terms: 4x + -15x = -11x 6 + -11x = -5 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -11x = -5 + 0 6 + -11x = -5 Add '-6' to each side of the equation. 6 + -6 + -11x = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -11x = -5 + -6 -11x = -5 + -6 Combine like terms: -5 + -6 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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