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Simplifying 5(x + 5) + 3 = 9x + 5(x + 3) Reorder the terms: 5(5 + x) + 3 = 9x + 5(x + 3) (5 * 5 + x * 5) + 3 = 9x + 5(x + 3) (25 + 5x) + 3 = 9x + 5(x + 3) Reorder the terms: 25 + 3 + 5x = 9x + 5(x + 3) Combine like terms: 25 + 3 = 28 28 + 5x = 9x + 5(x + 3) Reorder the terms: 28 + 5x = 9x + 5(3 + x) 28 + 5x = 9x + (3 * 5 + x * 5) 28 + 5x = 9x + (15 + 5x) Reorder the terms: 28 + 5x = 15 + 9x + 5x Combine like terms: 9x + 5x = 14x 28 + 5x = 15 + 14x Solving 28 + 5x = 15 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 28 + 5x + -14x = 15 + 14x + -14x Combine like terms: 5x + -14x = -9x 28 + -9x = 15 + 14x + -14x Combine like terms: 14x + -14x = 0 28 + -9x = 15 + 0 28 + -9x = 15 Add '-28' to each side of the equation. 28 + -28 + -9x = 15 + -28 Combine like terms: 28 + -28 = 0 0 + -9x = 15 + -28 -9x = 15 + -28 Combine like terms: 15 + -28 = -13 -9x = -13 Divide each side by '-9'. x = 1.444444444 Simplifying x = 1.444444444
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