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Simplifying 5x + 12 + -1x + -4 = 3x + 2 + -2x Reorder the terms: 12 + -4 + 5x + -1x = 3x + 2 + -2x Combine like terms: 12 + -4 = 8 8 + 5x + -1x = 3x + 2 + -2x Combine like terms: 5x + -1x = 4x 8 + 4x = 3x + 2 + -2x Reorder the terms: 8 + 4x = 2 + 3x + -2x Combine like terms: 3x + -2x = 1x 8 + 4x = 2 + 1x Solving 8 + 4x = 2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + 4x + -1x = 2 + 1x + -1x Combine like terms: 4x + -1x = 3x 8 + 3x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 8 + 3x = 2 + 0 8 + 3x = 2 Add '-8' to each side of the equation. 8 + -8 + 3x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 2 + -8 3x = 2 + -8 Combine like terms: 2 + -8 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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