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Simplifying 12 + -5x = 10 + -8x Solving 12 + -5x = 10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 12 + -5x + 8x = 10 + -8x + 8x Combine like terms: -5x + 8x = 3x 12 + 3x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 3x = 10 + 0 12 + 3x = 10 Add '-12' to each side of the equation. 12 + -12 + 3x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 10 + -12 3x = 10 + -12 Combine like terms: 10 + -12 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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