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Simplifying 5(x + 2) = 17 + -1(1 + -3x) Reorder the terms: 5(2 + x) = 17 + -1(1 + -3x) (2 * 5 + x * 5) = 17 + -1(1 + -3x) (10 + 5x) = 17 + -1(1 + -3x) 10 + 5x = 17 + (1 * -1 + -3x * -1) 10 + 5x = 17 + (-1 + 3x) Combine like terms: 17 + -1 = 16 10 + 5x = 16 + 3x Solving 10 + 5x = 16 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 5x + -3x = 16 + 3x + -3x Combine like terms: 5x + -3x = 2x 10 + 2x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 2x = 16 + 0 10 + 2x = 16 Add '-10' to each side of the equation. 10 + -10 + 2x = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 16 + -10 2x = 16 + -10 Combine like terms: 16 + -10 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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