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Simplifying 3(x + -11) + 2 = 9(x + 3) Reorder the terms: 3(-11 + x) + 2 = 9(x + 3) (-11 * 3 + x * 3) + 2 = 9(x + 3) (-33 + 3x) + 2 = 9(x + 3) Reorder the terms: -33 + 2 + 3x = 9(x + 3) Combine like terms: -33 + 2 = -31 -31 + 3x = 9(x + 3) Reorder the terms: -31 + 3x = 9(3 + x) -31 + 3x = (3 * 9 + x * 9) -31 + 3x = (27 + 9x) Solving -31 + 3x = 27 + 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. -31 + 3x + -9x = 27 + 9x + -9x Combine like terms: 3x + -9x = -6x -31 + -6x = 27 + 9x + -9x Combine like terms: 9x + -9x = 0 -31 + -6x = 27 + 0 -31 + -6x = 27 Add '31' to each side of the equation. -31 + 31 + -6x = 27 + 31 Combine like terms: -31 + 31 = 0 0 + -6x = 27 + 31 -6x = 27 + 31 Combine like terms: 27 + 31 = 58 -6x = 58 Divide each side by '-6'. x = -9.666666667 Simplifying x = -9.666666667
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