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Simplifying 5(3x + -10) = 30 + -5(x + 2) Reorder the terms: 5(-10 + 3x) = 30 + -5(x + 2) (-10 * 5 + 3x * 5) = 30 + -5(x + 2) (-50 + 15x) = 30 + -5(x + 2) Reorder the terms: -50 + 15x = 30 + -5(2 + x) -50 + 15x = 30 + (2 * -5 + x * -5) -50 + 15x = 30 + (-10 + -5x) Combine like terms: 30 + -10 = 20 -50 + 15x = 20 + -5x Solving -50 + 15x = 20 + -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. -50 + 15x + 5x = 20 + -5x + 5x Combine like terms: 15x + 5x = 20x -50 + 20x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 -50 + 20x = 20 + 0 -50 + 20x = 20 Add '50' to each side of the equation. -50 + 50 + 20x = 20 + 50 Combine like terms: -50 + 50 = 0 0 + 20x = 20 + 50 20x = 20 + 50 Combine like terms: 20 + 50 = 70 20x = 70 Divide each side by '20'. x = 3.5 Simplifying x = 3.5
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