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Simplifying 9 + 5(x + -1) = 8 + -4(x + -7) Reorder the terms: 9 + 5(-1 + x) = 8 + -4(x + -7) 9 + (-1 * 5 + x * 5) = 8 + -4(x + -7) 9 + (-5 + 5x) = 8 + -4(x + -7) Combine like terms: 9 + -5 = 4 4 + 5x = 8 + -4(x + -7) Reorder the terms: 4 + 5x = 8 + -4(-7 + x) 4 + 5x = 8 + (-7 * -4 + x * -4) 4 + 5x = 8 + (28 + -4x) Combine like terms: 8 + 28 = 36 4 + 5x = 36 + -4x Solving 4 + 5x = 36 + -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. 4 + 5x + 4x = 36 + -4x + 4x Combine like terms: 5x + 4x = 9x 4 + 9x = 36 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 9x = 36 + 0 4 + 9x = 36 Add '-4' to each side of the equation. 4 + -4 + 9x = 36 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 36 + -4 9x = 36 + -4 Combine like terms: 36 + -4 = 32 9x = 32 Divide each side by '9'. x = 3.555555556 Simplifying x = 3.555555556
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