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Simplifying 3(x + 2) + -1(2x + 5) = 3(3 + -1x) Reorder the terms: 3(2 + x) + -1(2x + 5) = 3(3 + -1x) (2 * 3 + x * 3) + -1(2x + 5) = 3(3 + -1x) (6 + 3x) + -1(2x + 5) = 3(3 + -1x) Reorder the terms: 6 + 3x + -1(5 + 2x) = 3(3 + -1x) 6 + 3x + (5 * -1 + 2x * -1) = 3(3 + -1x) 6 + 3x + (-5 + -2x) = 3(3 + -1x) Reorder the terms: 6 + -5 + 3x + -2x = 3(3 + -1x) Combine like terms: 6 + -5 = 1 1 + 3x + -2x = 3(3 + -1x) Combine like terms: 3x + -2x = 1x 1 + 1x = 3(3 + -1x) 1 + 1x = (3 * 3 + -1x * 3) 1 + 1x = (9 + -3x) Solving 1 + 1x = 9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 1 + 1x + 3x = 9 + -3x + 3x Combine like terms: 1x + 3x = 4x 1 + 4x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 4x = 9 + 0 1 + 4x = 9 Add '-1' to each side of the equation. 1 + -1 + 4x = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 9 + -1 4x = 9 + -1 Combine like terms: 9 + -1 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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