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Simplifying 2(x + 4) = 7x + -17 Reorder the terms: 2(4 + x) = 7x + -17 (4 * 2 + x * 2) = 7x + -17 (8 + 2x) = 7x + -17 Reorder the terms: 8 + 2x = -17 + 7x Solving 8 + 2x = -17 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 2x + -7x = -17 + 7x + -7x Combine like terms: 2x + -7x = -5x 8 + -5x = -17 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -5x = -17 + 0 8 + -5x = -17 Add '-8' to each side of the equation. 8 + -8 + -5x = -17 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -17 + -8 -5x = -17 + -8 Combine like terms: -17 + -8 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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