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Simplifying 17 + -5x = -6x + 5(1 + x) 17 + -5x = -6x + (1 * 5 + x * 5) 17 + -5x = -6x + (5 + 5x) Reorder the terms: 17 + -5x = 5 + -6x + 5x Combine like terms: -6x + 5x = -1x 17 + -5x = 5 + -1x Solving 17 + -5x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 17 + -5x + x = 5 + -1x + x Combine like terms: -5x + x = -4x 17 + -4x = 5 + -1x + x Combine like terms: -1x + x = 0 17 + -4x = 5 + 0 17 + -4x = 5 Add '-17' to each side of the equation. 17 + -17 + -4x = 5 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = 5 + -17 -4x = 5 + -17 Combine like terms: 5 + -17 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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