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Simplifying 3(3x + 4) + -6(4 + -1x) = 33 Reorder the terms: 3(4 + 3x) + -6(4 + -1x) = 33 (4 * 3 + 3x * 3) + -6(4 + -1x) = 33 (12 + 9x) + -6(4 + -1x) = 33 12 + 9x + (4 * -6 + -1x * -6) = 33 12 + 9x + (-24 + 6x) = 33 Reorder the terms: 12 + -24 + 9x + 6x = 33 Combine like terms: 12 + -24 = -12 -12 + 9x + 6x = 33 Combine like terms: 9x + 6x = 15x -12 + 15x = 33 Solving -12 + 15x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 15x = 33 + 12 Combine like terms: -12 + 12 = 0 0 + 15x = 33 + 12 15x = 33 + 12 Combine like terms: 33 + 12 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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