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Simplifying 2 + -3(x + 4) = 9(3 + 2x) Reorder the terms: 2 + -3(4 + x) = 9(3 + 2x) 2 + (4 * -3 + x * -3) = 9(3 + 2x) 2 + (-12 + -3x) = 9(3 + 2x) Combine like terms: 2 + -12 = -10 -10 + -3x = 9(3 + 2x) -10 + -3x = (3 * 9 + 2x * 9) -10 + -3x = (27 + 18x) Solving -10 + -3x = 27 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -10 + -3x + -18x = 27 + 18x + -18x Combine like terms: -3x + -18x = -21x -10 + -21x = 27 + 18x + -18x Combine like terms: 18x + -18x = 0 -10 + -21x = 27 + 0 -10 + -21x = 27 Add '10' to each side of the equation. -10 + 10 + -21x = 27 + 10 Combine like terms: -10 + 10 = 0 0 + -21x = 27 + 10 -21x = 27 + 10 Combine like terms: 27 + 10 = 37 -21x = 37 Divide each side by '-21'. x = -1.761904762 Simplifying x = -1.761904762
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