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Simplifying 3(2x + 4) = -5(4x + -3) + 2x Reorder the terms: 3(4 + 2x) = -5(4x + -3) + 2x (4 * 3 + 2x * 3) = -5(4x + -3) + 2x (12 + 6x) = -5(4x + -3) + 2x Reorder the terms: 12 + 6x = -5(-3 + 4x) + 2x 12 + 6x = (-3 * -5 + 4x * -5) + 2x 12 + 6x = (15 + -20x) + 2x Combine like terms: -20x + 2x = -18x 12 + 6x = 15 + -18x Solving 12 + 6x = 15 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 12 + 6x + 18x = 15 + -18x + 18x Combine like terms: 6x + 18x = 24x 12 + 24x = 15 + -18x + 18x Combine like terms: -18x + 18x = 0 12 + 24x = 15 + 0 12 + 24x = 15 Add '-12' to each side of the equation. 12 + -12 + 24x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 24x = 15 + -12 24x = 15 + -12 Combine like terms: 15 + -12 = 3 24x = 3 Divide each side by '24'. x = 0.125 Simplifying x = 0.125
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