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Simplifying 5x + 17 = 4(x + 5) Reorder the terms: 17 + 5x = 4(x + 5) Reorder the terms: 17 + 5x = 4(5 + x) 17 + 5x = (5 * 4 + x * 4) 17 + 5x = (20 + 4x) Solving 17 + 5x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 17 + 5x + -4x = 20 + 4x + -4x Combine like terms: 5x + -4x = 1x 17 + 1x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 17 + 1x = 20 + 0 17 + 1x = 20 Add '-17' to each side of the equation. 17 + -17 + 1x = 20 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 20 + -17 1x = 20 + -17 Combine like terms: 20 + -17 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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