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Simplifying 6(3x + -2) + -3(4x + 5) = 33 Reorder the terms: 6(-2 + 3x) + -3(4x + 5) = 33 (-2 * 6 + 3x * 6) + -3(4x + 5) = 33 (-12 + 18x) + -3(4x + 5) = 33 Reorder the terms: -12 + 18x + -3(5 + 4x) = 33 -12 + 18x + (5 * -3 + 4x * -3) = 33 -12 + 18x + (-15 + -12x) = 33 Reorder the terms: -12 + -15 + 18x + -12x = 33 Combine like terms: -12 + -15 = -27 -27 + 18x + -12x = 33 Combine like terms: 18x + -12x = 6x -27 + 6x = 33 Solving -27 + 6x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 6x = 33 + 27 Combine like terms: -27 + 27 = 0 0 + 6x = 33 + 27 6x = 33 + 27 Combine like terms: 33 + 27 = 60 6x = 60 Divide each side by '6'. x = 10 Simplifying x = 10
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