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Simplifying 17 = 3(x + 4) + 2x Reorder the terms: 17 = 3(4 + x) + 2x 17 = (4 * 3 + x * 3) + 2x 17 = (12 + 3x) + 2x Combine like terms: 3x + 2x = 5x 17 = 12 + 5x Solving 17 = 12 + 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 + -5x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + -5x = 12 + 0 17 + -5x = 12 Add '-17' to each side of the equation. 17 + -17 + -5x = 12 + -17 Combine like terms: 17 + -17 = 0 0 + -5x = 12 + -17 -5x = 12 + -17 Combine like terms: 12 + -17 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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