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Simplifying -3(x + -1) + -5 = 9(x + 2) + 1 Reorder the terms: -3(-1 + x) + -5 = 9(x + 2) + 1 (-1 * -3 + x * -3) + -5 = 9(x + 2) + 1 (3 + -3x) + -5 = 9(x + 2) + 1 Reorder the terms: 3 + -5 + -3x = 9(x + 2) + 1 Combine like terms: 3 + -5 = -2 -2 + -3x = 9(x + 2) + 1 Reorder the terms: -2 + -3x = 9(2 + x) + 1 -2 + -3x = (2 * 9 + x * 9) + 1 -2 + -3x = (18 + 9x) + 1 Reorder the terms: -2 + -3x = 18 + 1 + 9x Combine like terms: 18 + 1 = 19 -2 + -3x = 19 + 9x Solving -2 + -3x = 19 + 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. -2 + -3x + -9x = 19 + 9x + -9x Combine like terms: -3x + -9x = -12x -2 + -12x = 19 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -12x = 19 + 0 -2 + -12x = 19 Add '2' to each side of the equation. -2 + 2 + -12x = 19 + 2 Combine like terms: -2 + 2 = 0 0 + -12x = 19 + 2 -12x = 19 + 2 Combine like terms: 19 + 2 = 21 -12x = 21 Divide each side by '-12'. x = -1.75 Simplifying x = -1.75
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