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Simplifying 5(4 + x) = 5(4x + -1) + -5 (4 * 5 + x * 5) = 5(4x + -1) + -5 (20 + 5x) = 5(4x + -1) + -5 Reorder the terms: 20 + 5x = 5(-1 + 4x) + -5 20 + 5x = (-1 * 5 + 4x * 5) + -5 20 + 5x = (-5 + 20x) + -5 Reorder the terms: 20 + 5x = -5 + -5 + 20x Combine like terms: -5 + -5 = -10 20 + 5x = -10 + 20x Solving 20 + 5x = -10 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 20 + 5x + -20x = -10 + 20x + -20x Combine like terms: 5x + -20x = -15x 20 + -15x = -10 + 20x + -20x Combine like terms: 20x + -20x = 0 20 + -15x = -10 + 0 20 + -15x = -10 Add '-20' to each side of the equation. 20 + -20 + -15x = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -15x = -10 + -20 -15x = -10 + -20 Combine like terms: -10 + -20 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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