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Simplifying 3(2x + -1) + -2(3x + -4) = 11x Reorder the terms: 3(-1 + 2x) + -2(3x + -4) = 11x (-1 * 3 + 2x * 3) + -2(3x + -4) = 11x (-3 + 6x) + -2(3x + -4) = 11x Reorder the terms: -3 + 6x + -2(-4 + 3x) = 11x -3 + 6x + (-4 * -2 + 3x * -2) = 11x -3 + 6x + (8 + -6x) = 11x Reorder the terms: -3 + 8 + 6x + -6x = 11x Combine like terms: -3 + 8 = 5 5 + 6x + -6x = 11x Combine like terms: 6x + -6x = 0 5 + 0 = 11x 5 = 11x Solving 5 = 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 5 + -11x = 11x + -11x Combine like terms: 11x + -11x = 0 5 + -11x = 0 Add '-5' to each side of the equation. 5 + -5 + -11x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -11x = 0 + -5 -11x = 0 + -5 Combine like terms: 0 + -5 = -5 -11x = -5 Divide each side by '-11'. x = 0.4545454545 Simplifying x = 0.4545454545
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