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Simplifying 11(x + 5) = 7(x + 5) Reorder the terms: 11(5 + x) = 7(x + 5) (5 * 11 + x * 11) = 7(x + 5) (55 + 11x) = 7(x + 5) Reorder the terms: 55 + 11x = 7(5 + x) 55 + 11x = (5 * 7 + x * 7) 55 + 11x = (35 + 7x) Solving 55 + 11x = 35 + 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. 55 + 11x + -7x = 35 + 7x + -7x Combine like terms: 11x + -7x = 4x 55 + 4x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 55 + 4x = 35 + 0 55 + 4x = 35 Add '-55' to each side of the equation. 55 + -55 + 4x = 35 + -55 Combine like terms: 55 + -55 = 0 0 + 4x = 35 + -55 4x = 35 + -55 Combine like terms: 35 + -55 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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