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Simplifying 5x + 17 + -3x = 8 + 4x + -5 Reorder the terms: 17 + 5x + -3x = 8 + 4x + -5 Combine like terms: 5x + -3x = 2x 17 + 2x = 8 + 4x + -5 Reorder the terms: 17 + 2x = 8 + -5 + 4x Combine like terms: 8 + -5 = 3 17 + 2x = 3 + 4x Solving 17 + 2x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 17 + 2x + -4x = 3 + 4x + -4x Combine like terms: 2x + -4x = -2x 17 + -2x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 17 + -2x = 3 + 0 17 + -2x = 3 Add '-17' to each side of the equation. 17 + -17 + -2x = 3 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 3 + -17 -2x = 3 + -17 Combine like terms: 3 + -17 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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