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Simplifying 6(5x + -11) + -12(2x + 5) = 0 Reorder the terms: 6(-11 + 5x) + -12(2x + 5) = 0 (-11 * 6 + 5x * 6) + -12(2x + 5) = 0 (-66 + 30x) + -12(2x + 5) = 0 Reorder the terms: -66 + 30x + -12(5 + 2x) = 0 -66 + 30x + (5 * -12 + 2x * -12) = 0 -66 + 30x + (-60 + -24x) = 0 Reorder the terms: -66 + -60 + 30x + -24x = 0 Combine like terms: -66 + -60 = -126 -126 + 30x + -24x = 0 Combine like terms: 30x + -24x = 6x -126 + 6x = 0 Solving -126 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '126' to each side of the equation. -126 + 126 + 6x = 0 + 126 Combine like terms: -126 + 126 = 0 0 + 6x = 0 + 126 6x = 0 + 126 Combine like terms: 0 + 126 = 126 6x = 126 Divide each side by '6'. x = 21 Simplifying x = 21
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