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Simplifying 5 + -1(x + -9) = 11 + -4(x + -8) Reorder the terms: 5 + -1(-9 + x) = 11 + -4(x + -8) 5 + (-9 * -1 + x * -1) = 11 + -4(x + -8) 5 + (9 + -1x) = 11 + -4(x + -8) Combine like terms: 5 + 9 = 14 14 + -1x = 11 + -4(x + -8) Reorder the terms: 14 + -1x = 11 + -4(-8 + x) 14 + -1x = 11 + (-8 * -4 + x * -4) 14 + -1x = 11 + (32 + -4x) Combine like terms: 11 + 32 = 43 14 + -1x = 43 + -4x Solving 14 + -1x = 43 + -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. 14 + -1x + 4x = 43 + -4x + 4x Combine like terms: -1x + 4x = 3x 14 + 3x = 43 + -4x + 4x Combine like terms: -4x + 4x = 0 14 + 3x = 43 + 0 14 + 3x = 43 Add '-14' to each side of the equation. 14 + -14 + 3x = 43 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 43 + -14 3x = 43 + -14 Combine like terms: 43 + -14 = 29 3x = 29 Divide each side by '3'. x = 9.666666667 Simplifying x = 9.666666667
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