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Simplifying 6(5x + -11) = 12(2x + 5) + 18 Reorder the terms: 6(-11 + 5x) = 12(2x + 5) + 18 (-11 * 6 + 5x * 6) = 12(2x + 5) + 18 (-66 + 30x) = 12(2x + 5) + 18 Reorder the terms: -66 + 30x = 12(5 + 2x) + 18 -66 + 30x = (5 * 12 + 2x * 12) + 18 -66 + 30x = (60 + 24x) + 18 Reorder the terms: -66 + 30x = 60 + 18 + 24x Combine like terms: 60 + 18 = 78 -66 + 30x = 78 + 24x Solving -66 + 30x = 78 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -66 + 30x + -24x = 78 + 24x + -24x Combine like terms: 30x + -24x = 6x -66 + 6x = 78 + 24x + -24x Combine like terms: 24x + -24x = 0 -66 + 6x = 78 + 0 -66 + 6x = 78 Add '66' to each side of the equation. -66 + 66 + 6x = 78 + 66 Combine like terms: -66 + 66 = 0 0 + 6x = 78 + 66 6x = 78 + 66 Combine like terms: 78 + 66 = 144 6x = 144 Divide each side by '6'. x = 24 Simplifying x = 24
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