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Simplifying 5(x + 4) = 4 + -1(3 + -4x) Reorder the terms: 5(4 + x) = 4 + -1(3 + -4x) (4 * 5 + x * 5) = 4 + -1(3 + -4x) (20 + 5x) = 4 + -1(3 + -4x) 20 + 5x = 4 + (3 * -1 + -4x * -1) 20 + 5x = 4 + (-3 + 4x) Combine like terms: 4 + -3 = 1 20 + 5x = 1 + 4x Solving 20 + 5x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + 5x + -4x = 1 + 4x + -4x Combine like terms: 5x + -4x = 1x 20 + 1x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + 1x = 1 + 0 20 + 1x = 1 Add '-20' to each side of the equation. 20 + -20 + 1x = 1 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 1 + -20 1x = 1 + -20 Combine like terms: 1 + -20 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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