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Simplifying 11(x + -6) = 4(2x + 5) Reorder the terms: 11(-6 + x) = 4(2x + 5) (-6 * 11 + x * 11) = 4(2x + 5) (-66 + 11x) = 4(2x + 5) Reorder the terms: -66 + 11x = 4(5 + 2x) -66 + 11x = (5 * 4 + 2x * 4) -66 + 11x = (20 + 8x) Solving -66 + 11x = 20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -66 + 11x + -8x = 20 + 8x + -8x Combine like terms: 11x + -8x = 3x -66 + 3x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 -66 + 3x = 20 + 0 -66 + 3x = 20 Add '66' to each side of the equation. -66 + 66 + 3x = 20 + 66 Combine like terms: -66 + 66 = 0 0 + 3x = 20 + 66 3x = 20 + 66 Combine like terms: 20 + 66 = 86 3x = 86 Divide each side by '3'. x = 28.66666667 Simplifying x = 28.66666667
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