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Simplifying 11(4x + -6) = 28 + -3x Reorder the terms: 11(-6 + 4x) = 28 + -3x (-6 * 11 + 4x * 11) = 28 + -3x (-66 + 44x) = 28 + -3x Solving -66 + 44x = 28 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -66 + 44x + 3x = 28 + -3x + 3x Combine like terms: 44x + 3x = 47x -66 + 47x = 28 + -3x + 3x Combine like terms: -3x + 3x = 0 -66 + 47x = 28 + 0 -66 + 47x = 28 Add '66' to each side of the equation. -66 + 66 + 47x = 28 + 66 Combine like terms: -66 + 66 = 0 0 + 47x = 28 + 66 47x = 28 + 66 Combine like terms: 28 + 66 = 94 47x = 94 Divide each side by '47'. x = 2 Simplifying x = 2
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