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Simplifying 3(3x + 4) = 48 + 6x Reorder the terms: 3(4 + 3x) = 48 + 6x (4 * 3 + 3x * 3) = 48 + 6x (12 + 9x) = 48 + 6x Solving 12 + 9x = 48 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 9x + -6x = 48 + 6x + -6x Combine like terms: 9x + -6x = 3x 12 + 3x = 48 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 3x = 48 + 0 12 + 3x = 48 Add '-12' to each side of the equation. 12 + -12 + 3x = 48 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 48 + -12 3x = 48 + -12 Combine like terms: 48 + -12 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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