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Simplifying 5 + -5x + -10 = 9 + 2x + -7 Reorder the terms: 5 + -10 + -5x = 9 + 2x + -7 Combine like terms: 5 + -10 = -5 -5 + -5x = 9 + 2x + -7 Reorder the terms: -5 + -5x = 9 + -7 + 2x Combine like terms: 9 + -7 = 2 -5 + -5x = 2 + 2x Solving -5 + -5x = 2 + 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. -5 + -5x + -2x = 2 + 2x + -2x Combine like terms: -5x + -2x = -7x -5 + -7x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -7x = 2 + 0 -5 + -7x = 2 Add '5' to each side of the equation. -5 + 5 + -7x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 2 + 5 -7x = 2 + 5 Combine like terms: 2 + 5 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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