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Simplifying 4(3 + 5x) = 16x + 56 + -4(2x + -1) (3 * 4 + 5x * 4) = 16x + 56 + -4(2x + -1) (12 + 20x) = 16x + 56 + -4(2x + -1) Reorder the terms: 12 + 20x = 16x + 56 + -4(-1 + 2x) 12 + 20x = 16x + 56 + (-1 * -4 + 2x * -4) 12 + 20x = 16x + 56 + (4 + -8x) Reorder the terms: 12 + 20x = 56 + 4 + 16x + -8x Combine like terms: 56 + 4 = 60 12 + 20x = 60 + 16x + -8x Combine like terms: 16x + -8x = 8x 12 + 20x = 60 + 8x Solving 12 + 20x = 60 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + 20x + -8x = 60 + 8x + -8x Combine like terms: 20x + -8x = 12x 12 + 12x = 60 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + 12x = 60 + 0 12 + 12x = 60 Add '-12' to each side of the equation. 12 + -12 + 12x = 60 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = 60 + -12 12x = 60 + -12 Combine like terms: 60 + -12 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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