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Simplifying 5(2x + 1) + 10(3x + -10) = 20 Reorder the terms: 5(1 + 2x) + 10(3x + -10) = 20 (1 * 5 + 2x * 5) + 10(3x + -10) = 20 (5 + 10x) + 10(3x + -10) = 20 Reorder the terms: 5 + 10x + 10(-10 + 3x) = 20 5 + 10x + (-10 * 10 + 3x * 10) = 20 5 + 10x + (-100 + 30x) = 20 Reorder the terms: 5 + -100 + 10x + 30x = 20 Combine like terms: 5 + -100 = -95 -95 + 10x + 30x = 20 Combine like terms: 10x + 30x = 40x -95 + 40x = 20 Solving -95 + 40x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '95' to each side of the equation. -95 + 95 + 40x = 20 + 95 Combine like terms: -95 + 95 = 0 0 + 40x = 20 + 95 40x = 20 + 95 Combine like terms: 20 + 95 = 115 40x = 115 Divide each side by '40'. x = 2.875 Simplifying x = 2.875
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