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Simplifying 11(x + -6) = 7(x + 7) Reorder the terms: 11(-6 + x) = 7(x + 7) (-6 * 11 + x * 11) = 7(x + 7) (-66 + 11x) = 7(x + 7) Reorder the terms: -66 + 11x = 7(7 + x) -66 + 11x = (7 * 7 + x * 7) -66 + 11x = (49 + 7x) Solving -66 + 11x = 49 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -66 + 11x + -7x = 49 + 7x + -7x Combine like terms: 11x + -7x = 4x -66 + 4x = 49 + 7x + -7x Combine like terms: 7x + -7x = 0 -66 + 4x = 49 + 0 -66 + 4x = 49 Add '66' to each side of the equation. -66 + 66 + 4x = 49 + 66 Combine like terms: -66 + 66 = 0 0 + 4x = 49 + 66 4x = 49 + 66 Combine like terms: 49 + 66 = 115 4x = 115 Divide each side by '4'. x = 28.75 Simplifying x = 28.75
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