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Simplifying -3(x + -8) + -5 = 9(x + 2) + 1 Reorder the terms: -3(-8 + x) + -5 = 9(x + 2) + 1 (-8 * -3 + x * -3) + -5 = 9(x + 2) + 1 (24 + -3x) + -5 = 9(x + 2) + 1 Reorder the terms: 24 + -5 + -3x = 9(x + 2) + 1 Combine like terms: 24 + -5 = 19 19 + -3x = 9(x + 2) + 1 Reorder the terms: 19 + -3x = 9(2 + x) + 1 19 + -3x = (2 * 9 + x * 9) + 1 19 + -3x = (18 + 9x) + 1 Reorder the terms: 19 + -3x = 18 + 1 + 9x Combine like terms: 18 + 1 = 19 19 + -3x = 19 + 9x Add '-19' to each side of the equation. 19 + -19 + -3x = 19 + -19 + 9x Combine like terms: 19 + -19 = 0 0 + -3x = 19 + -19 + 9x -3x = 19 + -19 + 9x Combine like terms: 19 + -19 = 0 -3x = 0 + 9x -3x = 9x Solving -3x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -3x + -9x = 9x + -9x Combine like terms: -3x + -9x = -12x -12x = 9x + -9x Combine like terms: 9x + -9x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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