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Simplifying 3(x + 2) + -2(x + 1) = 46 Reorder the terms: 3(2 + x) + -2(x + 1) = 46 (2 * 3 + x * 3) + -2(x + 1) = 46 (6 + 3x) + -2(x + 1) = 46 Reorder the terms: 6 + 3x + -2(1 + x) = 46 6 + 3x + (1 * -2 + x * -2) = 46 6 + 3x + (-2 + -2x) = 46 Reorder the terms: 6 + -2 + 3x + -2x = 46 Combine like terms: 6 + -2 = 4 4 + 3x + -2x = 46 Combine like terms: 3x + -2x = 1x 4 + 1x = 46 Solving 4 + 1x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 1x = 46 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 46 + -4 1x = 46 + -4 Combine like terms: 46 + -4 = 42 1x = 42 Divide each side by '1'. x = 42 Simplifying x = 42
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