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Simplifying 2 + -3(x + 4) = 9 + -3(3 + 3x) Reorder the terms: 2 + -3(4 + x) = 9 + -3(3 + 3x) 2 + (4 * -3 + x * -3) = 9 + -3(3 + 3x) 2 + (-12 + -3x) = 9 + -3(3 + 3x) Combine like terms: 2 + -12 = -10 -10 + -3x = 9 + -3(3 + 3x) -10 + -3x = 9 + (3 * -3 + 3x * -3) -10 + -3x = 9 + (-9 + -9x) Combine like terms: 9 + -9 = 0 -10 + -3x = 0 + -9x -10 + -3x = -9x Solving -10 + -3x = -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. -10 + -3x + 9x = -9x + 9x Combine like terms: -3x + 9x = 6x -10 + 6x = -9x + 9x Combine like terms: -9x + 9x = 0 -10 + 6x = 0 Add '10' to each side of the equation. -10 + 10 + 6x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 0 + 10 6x = 0 + 10 Combine like terms: 0 + 10 = 10 6x = 10 Divide each side by '6'. x = 1.666666667 Simplifying x = 1.666666667
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