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Simplifying 2(3x + -3) + 9(x + -3) = 12 Reorder the terms: 2(-3 + 3x) + 9(x + -3) = 12 (-3 * 2 + 3x * 2) + 9(x + -3) = 12 (-6 + 6x) + 9(x + -3) = 12 Reorder the terms: -6 + 6x + 9(-3 + x) = 12 -6 + 6x + (-3 * 9 + x * 9) = 12 -6 + 6x + (-27 + 9x) = 12 Reorder the terms: -6 + -27 + 6x + 9x = 12 Combine like terms: -6 + -27 = -33 -33 + 6x + 9x = 12 Combine like terms: 6x + 9x = 15x -33 + 15x = 12 Solving -33 + 15x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 15x = 12 + 33 Combine like terms: -33 + 33 = 0 0 + 15x = 12 + 33 15x = 12 + 33 Combine like terms: 12 + 33 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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