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