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Simplifying 3 + 7(x + -7) = 6 + -4(x + -5) Reorder the terms: 3 + 7(-7 + x) = 6 + -4(x + -5) 3 + (-7 * 7 + x * 7) = 6 + -4(x + -5) 3 + (-49 + 7x) = 6 + -4(x + -5) Combine like terms: 3 + -49 = -46 -46 + 7x = 6 + -4(x + -5) Reorder the terms: -46 + 7x = 6 + -4(-5 + x) -46 + 7x = 6 + (-5 * -4 + x * -4) -46 + 7x = 6 + (20 + -4x) Combine like terms: 6 + 20 = 26 -46 + 7x = 26 + -4x Solving -46 + 7x = 26 + -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. -46 + 7x + 4x = 26 + -4x + 4x Combine like terms: 7x + 4x = 11x -46 + 11x = 26 + -4x + 4x Combine like terms: -4x + 4x = 0 -46 + 11x = 26 + 0 -46 + 11x = 26 Add '46' to each side of the equation. -46 + 46 + 11x = 26 + 46 Combine like terms: -46 + 46 = 0 0 + 11x = 26 + 46 11x = 26 + 46 Combine like terms: 26 + 46 = 72 11x = 72 Divide each side by '11'. x = 6.545454545 Simplifying x = 6.545454545
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