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Simplifying 4x + 17 + -3x = 7 + 4x + -5 Reorder the terms: 17 + 4x + -3x = 7 + 4x + -5 Combine like terms: 4x + -3x = 1x 17 + 1x = 7 + 4x + -5 Reorder the terms: 17 + 1x = 7 + -5 + 4x Combine like terms: 7 + -5 = 2 17 + 1x = 2 + 4x Solving 17 + 1x = 2 + 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 + 1x + -4x = 2 + 4x + -4x Combine like terms: 1x + -4x = -3x 17 + -3x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 17 + -3x = 2 + 0 17 + -3x = 2 Add '-17' to each side of the equation. 17 + -17 + -3x = 2 + -17 Combine like terms: 17 + -17 = 0 0 + -3x = 2 + -17 -3x = 2 + -17 Combine like terms: 2 + -17 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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