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