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Simplifying 3(4x + -1) + 2 = 2(2x + -3) Reorder the terms: 3(-1 + 4x) + 2 = 2(2x + -3) (-1 * 3 + 4x * 3) + 2 = 2(2x + -3) (-3 + 12x) + 2 = 2(2x + -3) Reorder the terms: -3 + 2 + 12x = 2(2x + -3) Combine like terms: -3 + 2 = -1 -1 + 12x = 2(2x + -3) Reorder the terms: -1 + 12x = 2(-3 + 2x) -1 + 12x = (-3 * 2 + 2x * 2) -1 + 12x = (-6 + 4x) Solving -1 + 12x = -6 + 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. -1 + 12x + -4x = -6 + 4x + -4x Combine like terms: 12x + -4x = 8x -1 + 8x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + 8x = -6 + 0 -1 + 8x = -6 Add '1' to each side of the equation. -1 + 1 + 8x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = -6 + 1 8x = -6 + 1 Combine like terms: -6 + 1 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625
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