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Simplifying 5(3x + -5) = 5 + -15x Reorder the terms: 5(-5 + 3x) = 5 + -15x (-5 * 5 + 3x * 5) = 5 + -15x (-25 + 15x) = 5 + -15x Solving -25 + 15x = 5 + -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. -25 + 15x + 15x = 5 + -15x + 15x Combine like terms: 15x + 15x = 30x -25 + 30x = 5 + -15x + 15x Combine like terms: -15x + 15x = 0 -25 + 30x = 5 + 0 -25 + 30x = 5 Add '25' to each side of the equation. -25 + 25 + 30x = 5 + 25 Combine like terms: -25 + 25 = 0 0 + 30x = 5 + 25 30x = 5 + 25 Combine like terms: 5 + 25 = 30 30x = 30 Divide each side by '30'. x = 1 Simplifying x = 1
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