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Simplifying 5(4x + -1) = 2(6x + -4) Reorder the terms: 5(-1 + 4x) = 2(6x + -4) (-1 * 5 + 4x * 5) = 2(6x + -4) (-5 + 20x) = 2(6x + -4) Reorder the terms: -5 + 20x = 2(-4 + 6x) -5 + 20x = (-4 * 2 + 6x * 2) -5 + 20x = (-8 + 12x) Solving -5 + 20x = -8 + 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. -5 + 20x + -12x = -8 + 12x + -12x Combine like terms: 20x + -12x = 8x -5 + 8x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 -5 + 8x = -8 + 0 -5 + 8x = -8 Add '5' to each side of the equation. -5 + 5 + 8x = -8 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = -8 + 5 8x = -8 + 5 Combine like terms: -8 + 5 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375
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