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Simplifying 4(3x + 33) + 6(x + 15) = 312 Reorder the terms: 4(33 + 3x) + 6(x + 15) = 312 (33 * 4 + 3x * 4) + 6(x + 15) = 312 (132 + 12x) + 6(x + 15) = 312 Reorder the terms: 132 + 12x + 6(15 + x) = 312 132 + 12x + (15 * 6 + x * 6) = 312 132 + 12x + (90 + 6x) = 312 Reorder the terms: 132 + 90 + 12x + 6x = 312 Combine like terms: 132 + 90 = 222 222 + 12x + 6x = 312 Combine like terms: 12x + 6x = 18x 222 + 18x = 312 Solving 222 + 18x = 312 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-222' to each side of the equation. 222 + -222 + 18x = 312 + -222 Combine like terms: 222 + -222 = 0 0 + 18x = 312 + -222 18x = 312 + -222 Combine like terms: 312 + -222 = 90 18x = 90 Divide each side by '18'. x = 5 Simplifying x = 5
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