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Simplifying 5(x + 1) = 2(3 + -2x) + 17 Reorder the terms: 5(1 + x) = 2(3 + -2x) + 17 (1 * 5 + x * 5) = 2(3 + -2x) + 17 (5 + 5x) = 2(3 + -2x) + 17 5 + 5x = (3 * 2 + -2x * 2) + 17 5 + 5x = (6 + -4x) + 17 Reorder the terms: 5 + 5x = 6 + 17 + -4x Combine like terms: 6 + 17 = 23 5 + 5x = 23 + -4x Solving 5 + 5x = 23 + -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. 5 + 5x + 4x = 23 + -4x + 4x Combine like terms: 5x + 4x = 9x 5 + 9x = 23 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 9x = 23 + 0 5 + 9x = 23 Add '-5' to each side of the equation. 5 + -5 + 9x = 23 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 23 + -5 9x = 23 + -5 Combine like terms: 23 + -5 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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