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Simplifying 3(2x + 4) = 6(5x + 12) Reorder the terms: 3(4 + 2x) = 6(5x + 12) (4 * 3 + 2x * 3) = 6(5x + 12) (12 + 6x) = 6(5x + 12) Reorder the terms: 12 + 6x = 6(12 + 5x) 12 + 6x = (12 * 6 + 5x * 6) 12 + 6x = (72 + 30x) Solving 12 + 6x = 72 + 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. 12 + 6x + -30x = 72 + 30x + -30x Combine like terms: 6x + -30x = -24x 12 + -24x = 72 + 30x + -30x Combine like terms: 30x + -30x = 0 12 + -24x = 72 + 0 12 + -24x = 72 Add '-12' to each side of the equation. 12 + -12 + -24x = 72 + -12 Combine like terms: 12 + -12 = 0 0 + -24x = 72 + -12 -24x = 72 + -12 Combine like terms: 72 + -12 = 60 -24x = 60 Divide each side by '-24'. x = -2.5 Simplifying x = -2.5
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