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Simplifying 2(x + -4) + 3x = 4x + 12 Reorder the terms: 2(-4 + x) + 3x = 4x + 12 (-4 * 2 + x * 2) + 3x = 4x + 12 (-8 + 2x) + 3x = 4x + 12 Combine like terms: 2x + 3x = 5x -8 + 5x = 4x + 12 Reorder the terms: -8 + 5x = 12 + 4x Solving -8 + 5x = 12 + 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. -8 + 5x + -4x = 12 + 4x + -4x Combine like terms: 5x + -4x = 1x -8 + 1x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 1x = 12 + 0 -8 + 1x = 12 Add '8' to each side of the equation. -8 + 8 + 1x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 12 + 8 1x = 12 + 8 Combine like terms: 12 + 8 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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