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Simplifying 3(x + -1) = -9(x + 3) + 44 Reorder the terms: 3(-1 + x) = -9(x + 3) + 44 (-1 * 3 + x * 3) = -9(x + 3) + 44 (-3 + 3x) = -9(x + 3) + 44 Reorder the terms: -3 + 3x = -9(3 + x) + 44 -3 + 3x = (3 * -9 + x * -9) + 44 -3 + 3x = (-27 + -9x) + 44 Reorder the terms: -3 + 3x = -27 + 44 + -9x Combine like terms: -27 + 44 = 17 -3 + 3x = 17 + -9x Solving -3 + 3x = 17 + -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. -3 + 3x + 9x = 17 + -9x + 9x Combine like terms: 3x + 9x = 12x -3 + 12x = 17 + -9x + 9x Combine like terms: -9x + 9x = 0 -3 + 12x = 17 + 0 -3 + 12x = 17 Add '3' to each side of the equation. -3 + 3 + 12x = 17 + 3 Combine like terms: -3 + 3 = 0 0 + 12x = 17 + 3 12x = 17 + 3 Combine like terms: 17 + 3 = 20 12x = 20 Divide each side by '12'. x = 1.666666667 Simplifying x = 1.666666667
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