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Simplifying 5(x + 5) = 3(2x + 1 + 5) Reorder the terms: 5(5 + x) = 3(2x + 1 + 5) (5 * 5 + x * 5) = 3(2x + 1 + 5) (25 + 5x) = 3(2x + 1 + 5) Reorder the terms: 25 + 5x = 3(1 + 5 + 2x) Combine like terms: 1 + 5 = 6 25 + 5x = 3(6 + 2x) 25 + 5x = (6 * 3 + 2x * 3) 25 + 5x = (18 + 6x) Solving 25 + 5x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 25 + 5x + -6x = 18 + 6x + -6x Combine like terms: 5x + -6x = -1x 25 + -1x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 25 + -1x = 18 + 0 25 + -1x = 18 Add '-25' to each side of the equation. 25 + -25 + -1x = 18 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 18 + -25 -1x = 18 + -25 Combine like terms: 18 + -25 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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