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Simplifying 5x + 4(x + 2) = 2(x + 25) Reorder the terms: 5x + 4(2 + x) = 2(x + 25) 5x + (2 * 4 + x * 4) = 2(x + 25) 5x + (8 + 4x) = 2(x + 25) Reorder the terms: 8 + 5x + 4x = 2(x + 25) Combine like terms: 5x + 4x = 9x 8 + 9x = 2(x + 25) Reorder the terms: 8 + 9x = 2(25 + x) 8 + 9x = (25 * 2 + x * 2) 8 + 9x = (50 + 2x) Solving 8 + 9x = 50 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 9x + -2x = 50 + 2x + -2x Combine like terms: 9x + -2x = 7x 8 + 7x = 50 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 7x = 50 + 0 8 + 7x = 50 Add '-8' to each side of the equation. 8 + -8 + 7x = 50 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 50 + -8 7x = 50 + -8 Combine like terms: 50 + -8 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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