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Simplifying 3x + -2(x + -4) = 5x + 12 Reorder the terms: 3x + -2(-4 + x) = 5x + 12 3x + (-4 * -2 + x * -2) = 5x + 12 3x + (8 + -2x) = 5x + 12 Reorder the terms: 8 + 3x + -2x = 5x + 12 Combine like terms: 3x + -2x = 1x 8 + 1x = 5x + 12 Reorder the terms: 8 + 1x = 12 + 5x Solving 8 + 1x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 1x + -5x = 12 + 5x + -5x Combine like terms: 1x + -5x = -4x 8 + -4x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -4x = 12 + 0 8 + -4x = 12 Add '-8' to each side of the equation. 8 + -8 + -4x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = 12 + -8 -4x = 12 + -8 Combine like terms: 12 + -8 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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