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Simplifying 4(4x + 5) = 4(3x + -1) Reorder the terms: 4(5 + 4x) = 4(3x + -1) (5 * 4 + 4x * 4) = 4(3x + -1) (20 + 16x) = 4(3x + -1) Reorder the terms: 20 + 16x = 4(-1 + 3x) 20 + 16x = (-1 * 4 + 3x * 4) 20 + 16x = (-4 + 12x) Solving 20 + 16x = -4 + 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. 20 + 16x + -12x = -4 + 12x + -12x Combine like terms: 16x + -12x = 4x 20 + 4x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + 4x = -4 + 0 20 + 4x = -4 Add '-20' to each side of the equation. 20 + -20 + 4x = -4 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = -4 + -20 4x = -4 + -20 Combine like terms: -4 + -20 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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