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Simplifying 5(x + -10) = 30 + -15x Reorder the terms: 5(-10 + x) = 30 + -15x (-10 * 5 + x * 5) = 30 + -15x (-50 + 5x) = 30 + -15x Solving -50 + 5x = 30 + -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. -50 + 5x + 15x = 30 + -15x + 15x Combine like terms: 5x + 15x = 20x -50 + 20x = 30 + -15x + 15x Combine like terms: -15x + 15x = 0 -50 + 20x = 30 + 0 -50 + 20x = 30 Add '50' to each side of the equation. -50 + 50 + 20x = 30 + 50 Combine like terms: -50 + 50 = 0 0 + 20x = 30 + 50 20x = 30 + 50 Combine like terms: 30 + 50 = 80 20x = 80 Divide each side by '20'. x = 4 Simplifying x = 4
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