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Simplifying 3(4x + -3) = 54 + 9x Reorder the terms: 3(-3 + 4x) = 54 + 9x (-3 * 3 + 4x * 3) = 54 + 9x (-9 + 12x) = 54 + 9x Solving -9 + 12x = 54 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -9 + 12x + -9x = 54 + 9x + -9x Combine like terms: 12x + -9x = 3x -9 + 3x = 54 + 9x + -9x Combine like terms: 9x + -9x = 0 -9 + 3x = 54 + 0 -9 + 3x = 54 Add '9' to each side of the equation. -9 + 9 + 3x = 54 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 54 + 9 3x = 54 + 9 Combine like terms: 54 + 9 = 63 3x = 63 Divide each side by '3'. x = 21 Simplifying x = 21
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