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Simplifying 7x + 8 + -5x + 112 = 17x + 6 + -3x + 102 Reorder the terms: 8 + 112 + 7x + -5x = 17x + 6 + -3x + 102 Combine like terms: 8 + 112 = 120 120 + 7x + -5x = 17x + 6 + -3x + 102 Combine like terms: 7x + -5x = 2x 120 + 2x = 17x + 6 + -3x + 102 Reorder the terms: 120 + 2x = 6 + 102 + 17x + -3x Combine like terms: 6 + 102 = 108 120 + 2x = 108 + 17x + -3x Combine like terms: 17x + -3x = 14x 120 + 2x = 108 + 14x Solving 120 + 2x = 108 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 120 + 2x + -14x = 108 + 14x + -14x Combine like terms: 2x + -14x = -12x 120 + -12x = 108 + 14x + -14x Combine like terms: 14x + -14x = 0 120 + -12x = 108 + 0 120 + -12x = 108 Add '-120' to each side of the equation. 120 + -120 + -12x = 108 + -120 Combine like terms: 120 + -120 = 0 0 + -12x = 108 + -120 -12x = 108 + -120 Combine like terms: 108 + -120 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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