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Simplifying 2(2x + -1) = 3(4x + 1) Reorder the terms: 2(-1 + 2x) = 3(4x + 1) (-1 * 2 + 2x * 2) = 3(4x + 1) (-2 + 4x) = 3(4x + 1) Reorder the terms: -2 + 4x = 3(1 + 4x) -2 + 4x = (1 * 3 + 4x * 3) -2 + 4x = (3 + 12x) Solving -2 + 4x = 3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2 + 4x + -12x = 3 + 12x + -12x Combine like terms: 4x + -12x = -8x -2 + -8x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -8x = 3 + 0 -2 + -8x = 3 Add '2' to each side of the equation. -2 + 2 + -8x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 3 + 2 -8x = 3 + 2 Combine like terms: 3 + 2 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625
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