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Simplifying 3 + 2x = 3(2x + 4) + -5(x + -1) Reorder the terms: 3 + 2x = 3(4 + 2x) + -5(x + -1) 3 + 2x = (4 * 3 + 2x * 3) + -5(x + -1) 3 + 2x = (12 + 6x) + -5(x + -1) Reorder the terms: 3 + 2x = 12 + 6x + -5(-1 + x) 3 + 2x = 12 + 6x + (-1 * -5 + x * -5) 3 + 2x = 12 + 6x + (5 + -5x) Reorder the terms: 3 + 2x = 12 + 5 + 6x + -5x Combine like terms: 12 + 5 = 17 3 + 2x = 17 + 6x + -5x Combine like terms: 6x + -5x = 1x 3 + 2x = 17 + 1x Solving 3 + 2x = 17 + 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 = 17 + 1x + -1x Combine like terms: 2x + -1x = 1x 3 + 1x = 17 + 1x + -1x Combine like terms: 1x + -1x = 0 3 + 1x = 17 + 0 3 + 1x = 17 Add '-3' to each side of the equation. 3 + -3 + 1x = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 17 + -3 1x = 17 + -3 Combine like terms: 17 + -3 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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