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Simplifying 5x + (3 + 2x) = 18 + -1(x + -1) * 5 Remove parenthesis around (3 + 2x) 5x + 3 + 2x = 18 + -1(x + -1) * 5 Reorder the terms: 3 + 5x + 2x = 18 + -1(x + -1) * 5 Combine like terms: 5x + 2x = 7x 3 + 7x = 18 + -1(x + -1) * 5 Reorder the terms: 3 + 7x = 18 + -1(-1 + x) * 5 Reorder the terms for easier multiplication: 3 + 7x = 18 + -1 * 5(-1 + x) Multiply -1 * 5 3 + 7x = 18 + -5(-1 + x) 3 + 7x = 18 + (-1 * -5 + x * -5) 3 + 7x = 18 + (5 + -5x) Combine like terms: 18 + 5 = 23 3 + 7x = 23 + -5x Solving 3 + 7x = 23 + -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. 3 + 7x + 5x = 23 + -5x + 5x Combine like terms: 7x + 5x = 12x 3 + 12x = 23 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 12x = 23 + 0 3 + 12x = 23 Add '-3' to each side of the equation. 3 + -3 + 12x = 23 + -3 Combine like terms: 3 + -3 = 0 0 + 12x = 23 + -3 12x = 23 + -3 Combine like terms: 23 + -3 = 20 12x = 20 Divide each side by '12'. x = 1.666666667 Simplifying x = 1.666666667
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