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Simplifying 3(4 + -5x + -6x) + 8(3x + 8) = 4 Combine like terms: -5x + -6x = -11x 3(4 + -11x) + 8(3x + 8) = 4 (4 * 3 + -11x * 3) + 8(3x + 8) = 4 (12 + -33x) + 8(3x + 8) = 4 Reorder the terms: 12 + -33x + 8(8 + 3x) = 4 12 + -33x + (8 * 8 + 3x * 8) = 4 12 + -33x + (64 + 24x) = 4 Reorder the terms: 12 + 64 + -33x + 24x = 4 Combine like terms: 12 + 64 = 76 76 + -33x + 24x = 4 Combine like terms: -33x + 24x = -9x 76 + -9x = 4 Solving 76 + -9x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + -9x = 4 + -76 Combine like terms: 76 + -76 = 0 0 + -9x = 4 + -76 -9x = 4 + -76 Combine like terms: 4 + -76 = -72 -9x = -72 Divide each side by '-9'. x = 8 Simplifying x = 8
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