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Simplifying 3 + 2x = 2(2x + 6) + -3(x + -1) Reorder the terms: 3 + 2x = 2(6 + 2x) + -3(x + -1) 3 + 2x = (6 * 2 + 2x * 2) + -3(x + -1) 3 + 2x = (12 + 4x) + -3(x + -1) Reorder the terms: 3 + 2x = 12 + 4x + -3(-1 + x) 3 + 2x = 12 + 4x + (-1 * -3 + x * -3) 3 + 2x = 12 + 4x + (3 + -3x) Reorder the terms: 3 + 2x = 12 + 3 + 4x + -3x Combine like terms: 12 + 3 = 15 3 + 2x = 15 + 4x + -3x Combine like terms: 4x + -3x = 1x 3 + 2x = 15 + 1x Solving 3 + 2x = 15 + 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 = 15 + 1x + -1x Combine like terms: 2x + -1x = 1x 3 + 1x = 15 + 1x + -1x Combine like terms: 1x + -1x = 0 3 + 1x = 15 + 0 3 + 1x = 15 Add '-3' to each side of the equation. 3 + -3 + 1x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 15 + -3 1x = 15 + -3 Combine like terms: 15 + -3 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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