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Simplifying 5x + 5 + -7x = 15 + -12x + 10 + -10 Reorder the terms: 5 + 5x + -7x = 15 + -12x + 10 + -10 Combine like terms: 5x + -7x = -2x 5 + -2x = 15 + -12x + 10 + -10 Reorder the terms: 5 + -2x = 15 + 10 + -10 + -12x Combine like terms: 15 + 10 = 25 5 + -2x = 25 + -10 + -12x Combine like terms: 25 + -10 = 15 5 + -2x = 15 + -12x Solving 5 + -2x = 15 + -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. 5 + -2x + 12x = 15 + -12x + 12x Combine like terms: -2x + 12x = 10x 5 + 10x = 15 + -12x + 12x Combine like terms: -12x + 12x = 0 5 + 10x = 15 + 0 5 + 10x = 15 Add '-5' to each side of the equation. 5 + -5 + 10x = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 10x = 15 + -5 10x = 15 + -5 Combine like terms: 15 + -5 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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