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Simplifying (x + -5) + 4(x + 9) + -1(x + -2) = 0 Reorder the terms: (-5 + x) + 4(x + 9) + -1(x + -2) = 0 Remove parenthesis around (-5 + x) -5 + x + 4(x + 9) + -1(x + -2) = 0 Reorder the terms: -5 + x + 4(9 + x) + -1(x + -2) = 0 -5 + x + (9 * 4 + x * 4) + -1(x + -2) = 0 -5 + x + (36 + 4x) + -1(x + -2) = 0 Reorder the terms: -5 + x + 36 + 4x + -1(-2 + x) = 0 -5 + x + 36 + 4x + (-2 * -1 + x * -1) = 0 -5 + x + 36 + 4x + (2 + -1x) = 0 Reorder the terms: -5 + 36 + 2 + x + 4x + -1x = 0 Combine like terms: -5 + 36 = 31 31 + 2 + x + 4x + -1x = 0 Combine like terms: 31 + 2 = 33 33 + x + 4x + -1x = 0 Combine like terms: x + 4x = 5x 33 + 5x + -1x = 0 Combine like terms: 5x + -1x = 4x 33 + 4x = 0 Solving 33 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 4x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 4x = 0 + -33 4x = 0 + -33 Combine like terms: 0 + -33 = -33 4x = -33 Divide each side by '4'. x = -8.25 Simplifying x = -8.25
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