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Simplifying 4(3x + -1) = 5(4x + -1) Reorder the terms: 4(-1 + 3x) = 5(4x + -1) (-1 * 4 + 3x * 4) = 5(4x + -1) (-4 + 12x) = 5(4x + -1) Reorder the terms: -4 + 12x = 5(-1 + 4x) -4 + 12x = (-1 * 5 + 4x * 5) -4 + 12x = (-5 + 20x) Solving -4 + 12x = -5 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -4 + 12x + -20x = -5 + 20x + -20x Combine like terms: 12x + -20x = -8x -4 + -8x = -5 + 20x + -20x Combine like terms: 20x + -20x = 0 -4 + -8x = -5 + 0 -4 + -8x = -5 Add '4' to each side of the equation. -4 + 4 + -8x = -5 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = -5 + 4 -8x = -5 + 4 Combine like terms: -5 + 4 = -1 -8x = -1 Divide each side by '-8'. x = 0.125 Simplifying x = 0.125
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