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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 = 15x -10 + 15x = -27 + -18x + 18x Combine like terms: -18x + 18x = 0 -10 + 15x = -27 + 0 -10 + 15x = -27 Add '10' to each side of the equation. -10 + 10 + 15x = -27 + 10 Combine like terms: -10 + 10 = 0 0 + 15x = -27 + 10 15x = -27 + 10 Combine like terms: -27 + 10 = -17 15x = -17 Divide each side by '15'. x = -1.133333333 Simplifying x = -1.133333333
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