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Simplifying 17 + 7x = 2(x + 4) + -4x Reorder the terms: 17 + 7x = 2(4 + x) + -4x 17 + 7x = (4 * 2 + x * 2) + -4x 17 + 7x = (8 + 2x) + -4x Combine like terms: 2x + -4x = -2x 17 + 7x = 8 + -2x Solving 17 + 7x = 8 + -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 + 7x + 2x = 8 + -2x + 2x Combine like terms: 7x + 2x = 9x 17 + 9x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 17 + 9x = 8 + 0 17 + 9x = 8 Add '-17' to each side of the equation. 17 + -17 + 9x = 8 + -17 Combine like terms: 17 + -17 = 0 0 + 9x = 8 + -17 9x = 8 + -17 Combine like terms: 8 + -17 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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