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Simplifying 4(x + -5) = 20 + -7x Reorder the terms: 4(-5 + x) = 20 + -7x (-5 * 4 + x * 4) = 20 + -7x (-20 + 4x) = 20 + -7x Solving -20 + 4x = 20 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -20 + 4x + 7x = 20 + -7x + 7x Combine like terms: 4x + 7x = 11x -20 + 11x = 20 + -7x + 7x Combine like terms: -7x + 7x = 0 -20 + 11x = 20 + 0 -20 + 11x = 20 Add '20' to each side of the equation. -20 + 20 + 11x = 20 + 20 Combine like terms: -20 + 20 = 0 0 + 11x = 20 + 20 11x = 20 + 20 Combine like terms: 20 + 20 = 40 11x = 40 Divide each side by '11'. x = 3.636363636 Simplifying x = 3.636363636
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