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