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Simplifying 8(x + 5) = 5(x + 11) Reorder the terms: 8(5 + x) = 5(x + 11) (5 * 8 + x * 8) = 5(x + 11) (40 + 8x) = 5(x + 11) Reorder the terms: 40 + 8x = 5(11 + x) 40 + 8x = (11 * 5 + x * 5) 40 + 8x = (55 + 5x) Solving 40 + 8x = 55 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 40 + 8x + -5x = 55 + 5x + -5x Combine like terms: 8x + -5x = 3x 40 + 3x = 55 + 5x + -5x Combine like terms: 5x + -5x = 0 40 + 3x = 55 + 0 40 + 3x = 55 Add '-40' to each side of the equation. 40 + -40 + 3x = 55 + -40 Combine like terms: 40 + -40 = 0 0 + 3x = 55 + -40 3x = 55 + -40 Combine like terms: 55 + -40 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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