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Simplifying 4(x + 5) = 5(3 + -7) * x Reorder the terms: 4(5 + x) = 5(3 + -7) * x (5 * 4 + x * 4) = 5(3 + -7) * x (20 + 4x) = 5(3 + -7) * x Combine like terms: 3 + -7 = -4 20 + 4x = 5(-4) * x Multiply 5 * -4 20 + 4x = -20x Solving 20 + 4x = -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 + 4x + 20x = -20x + 20x Combine like terms: 4x + 20x = 24x 20 + 24x = -20x + 20x Combine like terms: -20x + 20x = 0 20 + 24x = 0 Add '-20' to each side of the equation. 20 + -20 + 24x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 24x = 0 + -20 24x = 0 + -20 Combine like terms: 0 + -20 = -20 24x = -20 Divide each side by '24'. x = -0.8333333333 Simplifying x = -0.8333333333
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