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Simplifying 3(2x + 4) = 4x + -12 + 4x Reorder the terms: 3(4 + 2x) = 4x + -12 + 4x (4 * 3 + 2x * 3) = 4x + -12 + 4x (12 + 6x) = 4x + -12 + 4x Reorder the terms: 12 + 6x = -12 + 4x + 4x Combine like terms: 4x + 4x = 8x 12 + 6x = -12 + 8x Solving 12 + 6x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + 6x + -8x = -12 + 8x + -8x Combine like terms: 6x + -8x = -2x 12 + -2x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -2x = -12 + 0 12 + -2x = -12 Add '-12' to each side of the equation. 12 + -12 + -2x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -12 + -12 -2x = -12 + -12 Combine like terms: -12 + -12 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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