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Simplifying 3(2x + -1) + -2(3x + 1) = 2x Reorder the terms: 3(-1 + 2x) + -2(3x + 1) = 2x (-1 * 3 + 2x * 3) + -2(3x + 1) = 2x (-3 + 6x) + -2(3x + 1) = 2x Reorder the terms: -3 + 6x + -2(1 + 3x) = 2x -3 + 6x + (1 * -2 + 3x * -2) = 2x -3 + 6x + (-2 + -6x) = 2x Reorder the terms: -3 + -2 + 6x + -6x = 2x Combine like terms: -3 + -2 = -5 -5 + 6x + -6x = 2x Combine like terms: 6x + -6x = 0 -5 + 0 = 2x -5 = 2x Solving -5 = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -2x = 0 Add '5' to each side of the equation. -5 + 5 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5
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