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Simplifying 10 + -4x + 2 = 8 + -5x Reorder the terms: 10 + 2 + -4x = 8 + -5x Combine like terms: 10 + 2 = 12 12 + -4x = 8 + -5x Solving 12 + -4x = 8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + -4x + 5x = 8 + -5x + 5x Combine like terms: -4x + 5x = 1x 12 + 1x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 1x = 8 + 0 12 + 1x = 8 Add '-12' to each side of the equation. 12 + -12 + 1x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 8 + -12 1x = 8 + -12 Combine like terms: 8 + -12 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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