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Simplifying 3(3x + -1) + 5x = 5(5 + x) Reorder the terms: 3(-1 + 3x) + 5x = 5(5 + x) (-1 * 3 + 3x * 3) + 5x = 5(5 + x) (-3 + 9x) + 5x = 5(5 + x) Combine like terms: 9x + 5x = 14x -3 + 14x = 5(5 + x) -3 + 14x = (5 * 5 + x * 5) -3 + 14x = (25 + 5x) Solving -3 + 14x = 25 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + 14x + -5x = 25 + 5x + -5x Combine like terms: 14x + -5x = 9x -3 + 9x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 9x = 25 + 0 -3 + 9x = 25 Add '3' to each side of the equation. -3 + 3 + 9x = 25 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 25 + 3 9x = 25 + 3 Combine like terms: 25 + 3 = 28 9x = 28 Divide each side by '9'. x = 3.111111111 Simplifying x = 3.111111111
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