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Simplifying 3x + 4 + -5x + 2 = 12 + -1x Reorder the terms: 4 + 2 + 3x + -5x = 12 + -1x Combine like terms: 4 + 2 = 6 6 + 3x + -5x = 12 + -1x Combine like terms: 3x + -5x = -2x 6 + -2x = 12 + -1x Solving 6 + -2x = 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. 6 + -2x + x = 12 + -1x + x Combine like terms: -2x + x = -1x 6 + -1x = 12 + -1x + x Combine like terms: -1x + x = 0 6 + -1x = 12 + 0 6 + -1x = 12 Add '-6' to each side of the equation. 6 + -6 + -1x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 12 + -6 -1x = 12 + -6 Combine like terms: 12 + -6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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