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Simplifying 5 + -5x + -10 + 17 = 2x + 7 + -9 Reorder the terms: 5 + -10 + 17 + -5x = 2x + 7 + -9 Combine like terms: 5 + -10 = -5 -5 + 17 + -5x = 2x + 7 + -9 Combine like terms: -5 + 17 = 12 12 + -5x = 2x + 7 + -9 Reorder the terms: 12 + -5x = 7 + -9 + 2x Combine like terms: 7 + -9 = -2 12 + -5x = -2 + 2x Solving 12 + -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. 12 + -5x + -2x = -2 + 2x + -2x Combine like terms: -5x + -2x = -7x 12 + -7x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -7x = -2 + 0 12 + -7x = -2 Add '-12' to each side of the equation. 12 + -12 + -7x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = -2 + -12 -7x = -2 + -12 Combine like terms: -2 + -12 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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