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Simplifying 5(5x + -3) = 5(3x + 7) Reorder the terms: 5(-3 + 5x) = 5(3x + 7) (-3 * 5 + 5x * 5) = 5(3x + 7) (-15 + 25x) = 5(3x + 7) Reorder the terms: -15 + 25x = 5(7 + 3x) -15 + 25x = (7 * 5 + 3x * 5) -15 + 25x = (35 + 15x) Solving -15 + 25x = 35 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -15 + 25x + -15x = 35 + 15x + -15x Combine like terms: 25x + -15x = 10x -15 + 10x = 35 + 15x + -15x Combine like terms: 15x + -15x = 0 -15 + 10x = 35 + 0 -15 + 10x = 35 Add '15' to each side of the equation. -15 + 15 + 10x = 35 + 15 Combine like terms: -15 + 15 = 0 0 + 10x = 35 + 15 10x = 35 + 15 Combine like terms: 35 + 15 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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