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Simplifying 4(6x + 3) + 9(3x + -5) = 324 Reorder the terms: 4(3 + 6x) + 9(3x + -5) = 324 (3 * 4 + 6x * 4) + 9(3x + -5) = 324 (12 + 24x) + 9(3x + -5) = 324 Reorder the terms: 12 + 24x + 9(-5 + 3x) = 324 12 + 24x + (-5 * 9 + 3x * 9) = 324 12 + 24x + (-45 + 27x) = 324 Reorder the terms: 12 + -45 + 24x + 27x = 324 Combine like terms: 12 + -45 = -33 -33 + 24x + 27x = 324 Combine like terms: 24x + 27x = 51x -33 + 51x = 324 Solving -33 + 51x = 324 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 + 51x = 324 + 33 Combine like terms: -33 + 33 = 0 0 + 51x = 324 + 33 51x = 324 + 33 Combine like terms: 324 + 33 = 357 51x = 357 Divide each side by '51'. x = 7 Simplifying x = 7
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