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Simplifying 10(2 + -1x) + -5(1 + -3x) = 30 (2 * 10 + -1x * 10) + -5(1 + -3x) = 30 (20 + -10x) + -5(1 + -3x) = 30 20 + -10x + (1 * -5 + -3x * -5) = 30 20 + -10x + (-5 + 15x) = 30 Reorder the terms: 20 + -5 + -10x + 15x = 30 Combine like terms: 20 + -5 = 15 15 + -10x + 15x = 30 Combine like terms: -10x + 15x = 5x 15 + 5x = 30 Solving 15 + 5x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 5x = 30 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 30 + -15 5x = 30 + -15 Combine like terms: 30 + -15 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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