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Simplifying 9 + 4(x + -9) = 1 + -8(x + -1) Reorder the terms: 9 + 4(-9 + x) = 1 + -8(x + -1) 9 + (-9 * 4 + x * 4) = 1 + -8(x + -1) 9 + (-36 + 4x) = 1 + -8(x + -1) Combine like terms: 9 + -36 = -27 -27 + 4x = 1 + -8(x + -1) Reorder the terms: -27 + 4x = 1 + -8(-1 + x) -27 + 4x = 1 + (-1 * -8 + x * -8) -27 + 4x = 1 + (8 + -8x) Combine like terms: 1 + 8 = 9 -27 + 4x = 9 + -8x Solving -27 + 4x = 9 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -27 + 4x + 8x = 9 + -8x + 8x Combine like terms: 4x + 8x = 12x -27 + 12x = 9 + -8x + 8x Combine like terms: -8x + 8x = 0 -27 + 12x = 9 + 0 -27 + 12x = 9 Add '27' to each side of the equation. -27 + 27 + 12x = 9 + 27 Combine like terms: -27 + 27 = 0 0 + 12x = 9 + 27 12x = 9 + 27 Combine like terms: 9 + 27 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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