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Simplifying 3(x + 4) + -2(x + 2) = 41 Reorder the terms: 3(4 + x) + -2(x + 2) = 41 (4 * 3 + x * 3) + -2(x + 2) = 41 (12 + 3x) + -2(x + 2) = 41 Reorder the terms: 12 + 3x + -2(2 + x) = 41 12 + 3x + (2 * -2 + x * -2) = 41 12 + 3x + (-4 + -2x) = 41 Reorder the terms: 12 + -4 + 3x + -2x = 41 Combine like terms: 12 + -4 = 8 8 + 3x + -2x = 41 Combine like terms: 3x + -2x = 1x 8 + 1x = 41 Solving 8 + 1x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1x = 41 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 41 + -8 1x = 41 + -8 Combine like terms: 41 + -8 = 33 1x = 33 Divide each side by '1'. x = 33 Simplifying x = 33
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