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Simplifying 3(4x + 2) = -5(3x + -3) + 4x Reorder the terms: 3(2 + 4x) = -5(3x + -3) + 4x (2 * 3 + 4x * 3) = -5(3x + -3) + 4x (6 + 12x) = -5(3x + -3) + 4x Reorder the terms: 6 + 12x = -5(-3 + 3x) + 4x 6 + 12x = (-3 * -5 + 3x * -5) + 4x 6 + 12x = (15 + -15x) + 4x Combine like terms: -15x + 4x = -11x 6 + 12x = 15 + -11x Solving 6 + 12x = 15 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 6 + 12x + 11x = 15 + -11x + 11x Combine like terms: 12x + 11x = 23x 6 + 23x = 15 + -11x + 11x Combine like terms: -11x + 11x = 0 6 + 23x = 15 + 0 6 + 23x = 15 Add '-6' to each side of the equation. 6 + -6 + 23x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 23x = 15 + -6 23x = 15 + -6 Combine like terms: 15 + -6 = 9 23x = 9 Divide each side by '23'. x = 0.3913043478 Simplifying x = 0.3913043478
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