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Simplifying 2(x + 5) = 30 + -3x Reorder the terms: 2(5 + x) = 30 + -3x (5 * 2 + x * 2) = 30 + -3x (10 + 2x) = 30 + -3x Solving 10 + 2x = 30 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 10 + 2x + 3x = 30 + -3x + 3x Combine like terms: 2x + 3x = 5x 10 + 5x = 30 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 5x = 30 + 0 10 + 5x = 30 Add '-10' to each side of the equation. 10 + -10 + 5x = 30 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 30 + -10 5x = 30 + -10 Combine like terms: 30 + -10 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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