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