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Simplifying 8(x + 5) = 3(x + 25) Reorder the terms: 8(5 + x) = 3(x + 25) (5 * 8 + x * 8) = 3(x + 25) (40 + 8x) = 3(x + 25) Reorder the terms: 40 + 8x = 3(25 + x) 40 + 8x = (25 * 3 + x * 3) 40 + 8x = (75 + 3x) Solving 40 + 8x = 75 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 40 + 8x + -3x = 75 + 3x + -3x Combine like terms: 8x + -3x = 5x 40 + 5x = 75 + 3x + -3x Combine like terms: 3x + -3x = 0 40 + 5x = 75 + 0 40 + 5x = 75 Add '-40' to each side of the equation. 40 + -40 + 5x = 75 + -40 Combine like terms: 40 + -40 = 0 0 + 5x = 75 + -40 5x = 75 + -40 Combine like terms: 75 + -40 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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