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Simplifying 17 + x = -5(x + -7) Reorder the terms: 17 + x = -5(-7 + x) 17 + x = (-7 * -5 + x * -5) 17 + x = (35 + -5x) Solving 17 + x = 35 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 17 + x + 5x = 35 + -5x + 5x Combine like terms: x + 5x = 6x 17 + 6x = 35 + -5x + 5x Combine like terms: -5x + 5x = 0 17 + 6x = 35 + 0 17 + 6x = 35 Add '-17' to each side of the equation. 17 + -17 + 6x = 35 + -17 Combine like terms: 17 + -17 = 0 0 + 6x = 35 + -17 6x = 35 + -17 Combine like terms: 35 + -17 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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