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Simplifying 4(3 + -4x) = 5(x + -1) (3 * 4 + -4x * 4) = 5(x + -1) (12 + -16x) = 5(x + -1) Reorder the terms: 12 + -16x = 5(-1 + x) 12 + -16x = (-1 * 5 + x * 5) 12 + -16x = (-5 + 5x) Solving 12 + -16x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + -16x + -5x = -5 + 5x + -5x Combine like terms: -16x + -5x = -21x 12 + -21x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -21x = -5 + 0 12 + -21x = -5 Add '-12' to each side of the equation. 12 + -12 + -21x = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -21x = -5 + -12 -21x = -5 + -12 Combine like terms: -5 + -12 = -17 -21x = -17 Divide each side by '-21'. x = 0.8095238095 Simplifying x = 0.8095238095
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