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Simplifying 2(2x + -1) = 3(2x + -4) Reorder the terms: 2(-1 + 2x) = 3(2x + -4) (-1 * 2 + 2x * 2) = 3(2x + -4) (-2 + 4x) = 3(2x + -4) Reorder the terms: -2 + 4x = 3(-4 + 2x) -2 + 4x = (-4 * 3 + 2x * 3) -2 + 4x = (-12 + 6x) Solving -2 + 4x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 4x + -6x = -12 + 6x + -6x Combine like terms: 4x + -6x = -2x -2 + -2x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -2x = -12 + 0 -2 + -2x = -12 Add '2' to each side of the equation. -2 + 2 + -2x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -12 + 2 -2x = -12 + 2 Combine like terms: -12 + 2 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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