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Simplifying 2(3x + 1) = 3(2x + -1) + -2x Reorder the terms: 2(1 + 3x) = 3(2x + -1) + -2x (1 * 2 + 3x * 2) = 3(2x + -1) + -2x (2 + 6x) = 3(2x + -1) + -2x Reorder the terms: 2 + 6x = 3(-1 + 2x) + -2x 2 + 6x = (-1 * 3 + 2x * 3) + -2x 2 + 6x = (-3 + 6x) + -2x Combine like terms: 6x + -2x = 4x 2 + 6x = -3 + 4x Solving 2 + 6x = -3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 6x + -4x = -3 + 4x + -4x Combine like terms: 6x + -4x = 2x 2 + 2x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 2x = -3 + 0 2 + 2x = -3 Add '-2' to each side of the equation. 2 + -2 + 2x = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = -3 + -2 2x = -3 + -2 Combine like terms: -3 + -2 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5
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