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Simplifying 3 + 2x = 6(x + 3) + -5(x + -1) Reorder the terms: 3 + 2x = 6(3 + x) + -5(x + -1) 3 + 2x = (3 * 6 + x * 6) + -5(x + -1) 3 + 2x = (18 + 6x) + -5(x + -1) Reorder the terms: 3 + 2x = 18 + 6x + -5(-1 + x) 3 + 2x = 18 + 6x + (-1 * -5 + x * -5) 3 + 2x = 18 + 6x + (5 + -5x) Reorder the terms: 3 + 2x = 18 + 5 + 6x + -5x Combine like terms: 18 + 5 = 23 3 + 2x = 23 + 6x + -5x Combine like terms: 6x + -5x = 1x 3 + 2x = 23 + 1x Solving 3 + 2x = 23 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + 2x + -1x = 23 + 1x + -1x Combine like terms: 2x + -1x = 1x 3 + 1x = 23 + 1x + -1x Combine like terms: 1x + -1x = 0 3 + 1x = 23 + 0 3 + 1x = 23 Add '-3' to each side of the equation. 3 + -3 + 1x = 23 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 23 + -3 1x = 23 + -3 Combine like terms: 23 + -3 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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