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Simplifying 5(2x + -3) = 30 + -5x Reorder the terms: 5(-3 + 2x) = 30 + -5x (-3 * 5 + 2x * 5) = 30 + -5x (-15 + 10x) = 30 + -5x Solving -15 + 10x = 30 + -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. -15 + 10x + 5x = 30 + -5x + 5x Combine like terms: 10x + 5x = 15x -15 + 15x = 30 + -5x + 5x Combine like terms: -5x + 5x = 0 -15 + 15x = 30 + 0 -15 + 15x = 30 Add '15' to each side of the equation. -15 + 15 + 15x = 30 + 15 Combine like terms: -15 + 15 = 0 0 + 15x = 30 + 15 15x = 30 + 15 Combine like terms: 30 + 15 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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