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Simplifying 5x + 5 + -7 = 15 + -12x + 10x + -10 Reorder the terms: 5 + -7 + 5x = 15 + -12x + 10x + -10 Combine like terms: 5 + -7 = -2 -2 + 5x = 15 + -12x + 10x + -10 Reorder the terms: -2 + 5x = 15 + -10 + -12x + 10x Combine like terms: 15 + -10 = 5 -2 + 5x = 5 + -12x + 10x Combine like terms: -12x + 10x = -2x -2 + 5x = 5 + -2x Solving -2 + 5x = 5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -2 + 5x + 2x = 5 + -2x + 2x Combine like terms: 5x + 2x = 7x -2 + 7x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 7x = 5 + 0 -2 + 7x = 5 Add '2' to each side of the equation. -2 + 2 + 7x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 5 + 2 7x = 5 + 2 Combine like terms: 5 + 2 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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