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Simplifying 5(4x + 1) = -4(3x + -2) Reorder the terms: 5(1 + 4x) = -4(3x + -2) (1 * 5 + 4x * 5) = -4(3x + -2) (5 + 20x) = -4(3x + -2) Reorder the terms: 5 + 20x = -4(-2 + 3x) 5 + 20x = (-2 * -4 + 3x * -4) 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 = 32x 5 + 32x = 8 + -12x + 12x Combine like terms: -12x + 12x = 0 5 + 32x = 8 + 0 5 + 32x = 8 Add '-5' to each side of the equation. 5 + -5 + 32x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 32x = 8 + -5 32x = 8 + -5 Combine like terms: 8 + -5 = 3 32x = 3 Divide each side by '32'. x = 0.09375 Simplifying x = 0.09375
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