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Simplifying 3(2x + 4) = 7x + -12 Reorder the terms: 3(4 + 2x) = 7x + -12 (4 * 3 + 2x * 3) = 7x + -12 (12 + 6x) = 7x + -12 Reorder the terms: 12 + 6x = -12 + 7x Solving 12 + 6x = -12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + 6x + -7x = -12 + 7x + -7x Combine like terms: 6x + -7x = -1x 12 + -1x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -1x = -12 + 0 12 + -1x = -12 Add '-12' to each side of the equation. 12 + -12 + -1x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -12 + -12 -1x = -12 + -12 Combine like terms: -12 + -12 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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