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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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