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Simplifying 7x + -8 + 10 = 12x + -13 Reorder the terms: -8 + 10 + 7x = 12x + -13 Combine like terms: -8 + 10 = 2 2 + 7x = 12x + -13 Reorder the terms: 2 + 7x = -13 + 12x Solving 2 + 7x = -13 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 2 + 7x + -12x = -13 + 12x + -12x Combine like terms: 7x + -12x = -5x 2 + -5x = -13 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -5x = -13 + 0 2 + -5x = -13 Add '-2' to each side of the equation. 2 + -2 + -5x = -13 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = -13 + -2 -5x = -13 + -2 Combine like terms: -13 + -2 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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