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Simplifying 5(2x + 5) = 2(4x + 11) Reorder the terms: 5(5 + 2x) = 2(4x + 11) (5 * 5 + 2x * 5) = 2(4x + 11) (25 + 10x) = 2(4x + 11) Reorder the terms: 25 + 10x = 2(11 + 4x) 25 + 10x = (11 * 2 + 4x * 2) 25 + 10x = (22 + 8x) Solving 25 + 10x = 22 + 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. 25 + 10x + -8x = 22 + 8x + -8x Combine like terms: 10x + -8x = 2x 25 + 2x = 22 + 8x + -8x Combine like terms: 8x + -8x = 0 25 + 2x = 22 + 0 25 + 2x = 22 Add '-25' to each side of the equation. 25 + -25 + 2x = 22 + -25 Combine like terms: 25 + -25 = 0 0 + 2x = 22 + -25 2x = 22 + -25 Combine like terms: 22 + -25 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5
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