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Simplifying 12 + -3x + 4x = 9 + 10x + 8 Combine like terms: -3x + 4x = 1x 12 + 1x = 9 + 10x + 8 Reorder the terms: 12 + 1x = 9 + 8 + 10x Combine like terms: 9 + 8 = 17 12 + 1x = 17 + 10x Solving 12 + 1x = 17 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 1x + -10x = 17 + 10x + -10x Combine like terms: 1x + -10x = -9x 12 + -9x = 17 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -9x = 17 + 0 12 + -9x = 17 Add '-12' to each side of the equation. 12 + -12 + -9x = 17 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = 17 + -12 -9x = 17 + -12 Combine like terms: 17 + -12 = 5 -9x = 5 Divide each side by '-9'. x = -0.5555555556 Simplifying x = -0.5555555556
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