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Simplifying 12 + 5x + -8 = 2x + -10 Reorder the terms: 12 + -8 + 5x = 2x + -10 Combine like terms: 12 + -8 = 4 4 + 5x = 2x + -10 Reorder the terms: 4 + 5x = -10 + 2x Solving 4 + 5x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 5x + -2x = -10 + 2x + -2x Combine like terms: 5x + -2x = 3x 4 + 3x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 3x = -10 + 0 4 + 3x = -10 Add '-4' to each side of the equation. 4 + -4 + 3x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = -10 + -4 3x = -10 + -4 Combine like terms: -10 + -4 = -14 3x = -14 Divide each side by '3'. x = -4.666666667 Simplifying x = -4.666666667
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