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Simplifying 9(x + -4) = -3(x + 2) + 16 Reorder the terms: 9(-4 + x) = -3(x + 2) + 16 (-4 * 9 + x * 9) = -3(x + 2) + 16 (-36 + 9x) = -3(x + 2) + 16 Reorder the terms: -36 + 9x = -3(2 + x) + 16 -36 + 9x = (2 * -3 + x * -3) + 16 -36 + 9x = (-6 + -3x) + 16 Reorder the terms: -36 + 9x = -6 + 16 + -3x Combine like terms: -6 + 16 = 10 -36 + 9x = 10 + -3x Solving -36 + 9x = 10 + -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. -36 + 9x + 3x = 10 + -3x + 3x Combine like terms: 9x + 3x = 12x -36 + 12x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 -36 + 12x = 10 + 0 -36 + 12x = 10 Add '36' to each side of the equation. -36 + 36 + 12x = 10 + 36 Combine like terms: -36 + 36 = 0 0 + 12x = 10 + 36 12x = 10 + 36 Combine like terms: 10 + 36 = 46 12x = 46 Divide each side by '12'. x = 3.833333333 Simplifying x = 3.833333333
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