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Simplifying 3(x + 2) + 4(2x + -1) = 5x + -2 Reorder the terms: 3(2 + x) + 4(2x + -1) = 5x + -2 (2 * 3 + x * 3) + 4(2x + -1) = 5x + -2 (6 + 3x) + 4(2x + -1) = 5x + -2 Reorder the terms: 6 + 3x + 4(-1 + 2x) = 5x + -2 6 + 3x + (-1 * 4 + 2x * 4) = 5x + -2 6 + 3x + (-4 + 8x) = 5x + -2 Reorder the terms: 6 + -4 + 3x + 8x = 5x + -2 Combine like terms: 6 + -4 = 2 2 + 3x + 8x = 5x + -2 Combine like terms: 3x + 8x = 11x 2 + 11x = 5x + -2 Reorder the terms: 2 + 11x = -2 + 5x Solving 2 + 11x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + 11x + -5x = -2 + 5x + -5x Combine like terms: 11x + -5x = 6x 2 + 6x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 6x = -2 + 0 2 + 6x = -2 Add '-2' to each side of the equation. 2 + -2 + 6x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = -2 + -2 6x = -2 + -2 Combine like terms: -2 + -2 = -4 6x = -4 Divide each side by '6'. x = -0.6666666667 Simplifying x = -0.6666666667
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