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Simplifying 3 + 2x = 7(x + 2) + -6(x + -1) Reorder the terms: 3 + 2x = 7(2 + x) + -6(x + -1) 3 + 2x = (2 * 7 + x * 7) + -6(x + -1) 3 + 2x = (14 + 7x) + -6(x + -1) Reorder the terms: 3 + 2x = 14 + 7x + -6(-1 + x) 3 + 2x = 14 + 7x + (-1 * -6 + x * -6) 3 + 2x = 14 + 7x + (6 + -6x) Reorder the terms: 3 + 2x = 14 + 6 + 7x + -6x Combine like terms: 14 + 6 = 20 3 + 2x = 20 + 7x + -6x Combine like terms: 7x + -6x = 1x 3 + 2x = 20 + 1x Solving 3 + 2x = 20 + 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 = 20 + 1x + -1x Combine like terms: 2x + -1x = 1x 3 + 1x = 20 + 1x + -1x Combine like terms: 1x + -1x = 0 3 + 1x = 20 + 0 3 + 1x = 20 Add '-3' to each side of the equation. 3 + -3 + 1x = 20 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 20 + -3 1x = 20 + -3 Combine like terms: 20 + -3 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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