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Simplifying 9 + -5(x + 4) = 3(2 + -1x) + -1 Reorder the terms: 9 + -5(4 + x) = 3(2 + -1x) + -1 9 + (4 * -5 + x * -5) = 3(2 + -1x) + -1 9 + (-20 + -5x) = 3(2 + -1x) + -1 Combine like terms: 9 + -20 = -11 -11 + -5x = 3(2 + -1x) + -1 -11 + -5x = (2 * 3 + -1x * 3) + -1 -11 + -5x = (6 + -3x) + -1 Reorder the terms: -11 + -5x = 6 + -1 + -3x Combine like terms: 6 + -1 = 5 -11 + -5x = 5 + -3x Solving -11 + -5x = 5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -11 + -5x + 3x = 5 + -3x + 3x Combine like terms: -5x + 3x = -2x -11 + -2x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 -11 + -2x = 5 + 0 -11 + -2x = 5 Add '11' to each side of the equation. -11 + 11 + -2x = 5 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = 5 + 11 -2x = 5 + 11 Combine like terms: 5 + 11 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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