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Simplifying 4(3x + 6) = 33(4x + 8) Reorder the terms: 4(6 + 3x) = 33(4x + 8) (6 * 4 + 3x * 4) = 33(4x + 8) (24 + 12x) = 33(4x + 8) Reorder the terms: 24 + 12x = 33(8 + 4x) 24 + 12x = (8 * 33 + 4x * 33) 24 + 12x = (264 + 132x) Solving 24 + 12x = 264 + 132x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-132x' to each side of the equation. 24 + 12x + -132x = 264 + 132x + -132x Combine like terms: 12x + -132x = -120x 24 + -120x = 264 + 132x + -132x Combine like terms: 132x + -132x = 0 24 + -120x = 264 + 0 24 + -120x = 264 Add '-24' to each side of the equation. 24 + -24 + -120x = 264 + -24 Combine like terms: 24 + -24 = 0 0 + -120x = 264 + -24 -120x = 264 + -24 Combine like terms: 264 + -24 = 240 -120x = 240 Divide each side by '-120'. x = -2 Simplifying x = -2
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