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Simplifying 3(2x + 4) + 12 = 6(5x + 2) Reorder the terms: 3(4 + 2x) + 12 = 6(5x + 2) (4 * 3 + 2x * 3) + 12 = 6(5x + 2) (12 + 6x) + 12 = 6(5x + 2) Reorder the terms: 12 + 12 + 6x = 6(5x + 2) Combine like terms: 12 + 12 = 24 24 + 6x = 6(5x + 2) Reorder the terms: 24 + 6x = 6(2 + 5x) 24 + 6x = (2 * 6 + 5x * 6) 24 + 6x = (12 + 30x) Solving 24 + 6x = 12 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 24 + 6x + -30x = 12 + 30x + -30x Combine like terms: 6x + -30x = -24x 24 + -24x = 12 + 30x + -30x Combine like terms: 30x + -30x = 0 24 + -24x = 12 + 0 24 + -24x = 12 Add '-24' to each side of the equation. 24 + -24 + -24x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -24x = 12 + -24 -24x = 12 + -24 Combine like terms: 12 + -24 = -12 -24x = -12 Divide each side by '-24'. x = 0.5 Simplifying x = 0.5
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