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Simplifying 11(4x + -6) = 32x + 78 Reorder the terms: 11(-6 + 4x) = 32x + 78 (-6 * 11 + 4x * 11) = 32x + 78 (-66 + 44x) = 32x + 78 Reorder the terms: -66 + 44x = 78 + 32x Solving -66 + 44x = 78 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -66 + 44x + -32x = 78 + 32x + -32x Combine like terms: 44x + -32x = 12x -66 + 12x = 78 + 32x + -32x Combine like terms: 32x + -32x = 0 -66 + 12x = 78 + 0 -66 + 12x = 78 Add '66' to each side of the equation. -66 + 66 + 12x = 78 + 66 Combine like terms: -66 + 66 = 0 0 + 12x = 78 + 66 12x = 78 + 66 Combine like terms: 78 + 66 = 144 12x = 144 Divide each side by '12'. x = 12 Simplifying x = 12
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