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Simplifying 3(3x + -11) = 49 + -3(x + 4) Reorder the terms: 3(-11 + 3x) = 49 + -3(x + 4) (-11 * 3 + 3x * 3) = 49 + -3(x + 4) (-33 + 9x) = 49 + -3(x + 4) Reorder the terms: -33 + 9x = 49 + -3(4 + x) -33 + 9x = 49 + (4 * -3 + x * -3) -33 + 9x = 49 + (-12 + -3x) Combine like terms: 49 + -12 = 37 -33 + 9x = 37 + -3x Solving -33 + 9x = 37 + -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. -33 + 9x + 3x = 37 + -3x + 3x Combine like terms: 9x + 3x = 12x -33 + 12x = 37 + -3x + 3x Combine like terms: -3x + 3x = 0 -33 + 12x = 37 + 0 -33 + 12x = 37 Add '33' to each side of the equation. -33 + 33 + 12x = 37 + 33 Combine like terms: -33 + 33 = 0 0 + 12x = 37 + 33 12x = 37 + 33 Combine like terms: 37 + 33 = 70 12x = 70 Divide each side by '12'. x = 5.833333333 Simplifying x = 5.833333333
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