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Simplifying 5(4 + 4x) = 4(7x + -5) (4 * 5 + 4x * 5) = 4(7x + -5) (20 + 20x) = 4(7x + -5) Reorder the terms: 20 + 20x = 4(-5 + 7x) 20 + 20x = (-5 * 4 + 7x * 4) 20 + 20x = (-20 + 28x) Solving 20 + 20x = -20 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 20 + 20x + -28x = -20 + 28x + -28x Combine like terms: 20x + -28x = -8x 20 + -8x = -20 + 28x + -28x Combine like terms: 28x + -28x = 0 20 + -8x = -20 + 0 20 + -8x = -20 Add '-20' to each side of the equation. 20 + -20 + -8x = -20 + -20 Combine like terms: 20 + -20 = 0 0 + -8x = -20 + -20 -8x = -20 + -20 Combine like terms: -20 + -20 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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