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Simplifying 6(8x + 11) = -510 Reorder the terms: 6(11 + 8x) = -510 (11 * 6 + 8x * 6) = -510 (66 + 48x) = -510 Solving 66 + 48x = -510 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + 48x = -510 + -66 Combine like terms: 66 + -66 = 0 0 + 48x = -510 + -66 48x = -510 + -66 Combine like terms: -510 + -66 = -576 48x = -576 Divide each side by '48'. x = -12 Simplifying x = -12
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