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Simplifying 7 + 7(x + -1) = 4 + -4(x + -5) Reorder the terms: 7 + 7(-1 + x) = 4 + -4(x + -5) 7 + (-1 * 7 + x * 7) = 4 + -4(x + -5) 7 + (-7 + 7x) = 4 + -4(x + -5) Combine like terms: 7 + -7 = 0 0 + 7x = 4 + -4(x + -5) 7x = 4 + -4(x + -5) Reorder the terms: 7x = 4 + -4(-5 + x) 7x = 4 + (-5 * -4 + x * -4) 7x = 4 + (20 + -4x) Combine like terms: 4 + 20 = 24 7x = 24 + -4x Solving 7x = 24 + -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. 7x + 4x = 24 + -4x + 4x Combine like terms: 7x + 4x = 11x 11x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 11x = 24 + 0 11x = 24 Divide each side by '11'. x = 2.181818182 Simplifying x = 2.181818182
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