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Simplifying -7x + 10 = 5x + 8 Reorder the terms: 10 + -7x = 5x + 8 Reorder the terms: 10 + -7x = 8 + 5x Solving 10 + -7x = 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. 10 + -7x + -5x = 8 + 5x + -5x Combine like terms: -7x + -5x = -12x 10 + -12x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -12x = 8 + 0 10 + -12x = 8 Add '-10' to each side of the equation. 10 + -10 + -12x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -12x = 8 + -10 -12x = 8 + -10 Combine like terms: 8 + -10 = -2 -12x = -2 Divide each side by '-12'. x = 0.1666666667 Simplifying x = 0.1666666667
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