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Simplifying 17 = 5(x + 3) + -7x Reorder the terms: 17 = 5(3 + x) + -7x 17 = (3 * 5 + x * 5) + -7x 17 = (15 + 5x) + -7x Combine like terms: 5x + -7x = -2x 17 = 15 + -2x Solving 17 = 15 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 17 + 2x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 17 + 2x = 15 + 0 17 + 2x = 15 Add '-17' to each side of the equation. 17 + -17 + 2x = 15 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 15 + -17 2x = 15 + -17 Combine like terms: 15 + -17 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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