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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 = -11 -11 + 6x + -6x = 11x Combine like terms: 6x + -6x = 0 -11 + 0 = 11x -11 = 11x Solving -11 = 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. -11 + -11x = 11x + -11x Combine like terms: 11x + -11x = 0 -11 + -11x = 0 Add '11' to each side of the equation. -11 + 11 + -11x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -11x = 0 + 11 -11x = 0 + 11 Combine like terms: 0 + 11 = 11 -11x = 11 Divide each side by '-11'. x = -1 Simplifying x = -1
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