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Simplifying 4 + 7(x + -7) = 9 + -4(x + -8) Reorder the terms: 4 + 7(-7 + x) = 9 + -4(x + -8) 4 + (-7 * 7 + x * 7) = 9 + -4(x + -8) 4 + (-49 + 7x) = 9 + -4(x + -8) Combine like terms: 4 + -49 = -45 -45 + 7x = 9 + -4(x + -8) Reorder the terms: -45 + 7x = 9 + -4(-8 + x) -45 + 7x = 9 + (-8 * -4 + x * -4) -45 + 7x = 9 + (32 + -4x) Combine like terms: 9 + 32 = 41 -45 + 7x = 41 + -4x Solving -45 + 7x = 41 + -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. -45 + 7x + 4x = 41 + -4x + 4x Combine like terms: 7x + 4x = 11x -45 + 11x = 41 + -4x + 4x Combine like terms: -4x + 4x = 0 -45 + 11x = 41 + 0 -45 + 11x = 41 Add '45' to each side of the equation. -45 + 45 + 11x = 41 + 45 Combine like terms: -45 + 45 = 0 0 + 11x = 41 + 45 11x = 41 + 45 Combine like terms: 41 + 45 = 86 11x = 86 Divide each side by '11'. x = 7.818181818 Simplifying x = 7.818181818
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