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Simplifying 2(3x + 4) + -1(4x + -1) = 3(x + 2) Reorder the terms: 2(4 + 3x) + -1(4x + -1) = 3(x + 2) (4 * 2 + 3x * 2) + -1(4x + -1) = 3(x + 2) (8 + 6x) + -1(4x + -1) = 3(x + 2) Reorder the terms: 8 + 6x + -1(-1 + 4x) = 3(x + 2) 8 + 6x + (-1 * -1 + 4x * -1) = 3(x + 2) 8 + 6x + (1 + -4x) = 3(x + 2) Reorder the terms: 8 + 1 + 6x + -4x = 3(x + 2) Combine like terms: 8 + 1 = 9 9 + 6x + -4x = 3(x + 2) Combine like terms: 6x + -4x = 2x 9 + 2x = 3(x + 2) Reorder the terms: 9 + 2x = 3(2 + x) 9 + 2x = (2 * 3 + x * 3) 9 + 2x = (6 + 3x) Solving 9 + 2x = 6 + 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. 9 + 2x + -3x = 6 + 3x + -3x Combine like terms: 2x + -3x = -1x 9 + -1x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + -1x = 6 + 0 9 + -1x = 6 Add '-9' to each side of the equation. 9 + -9 + -1x = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 6 + -9 -1x = 6 + -9 Combine like terms: 6 + -9 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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