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Simplifying 10x + -1(5x + 4) = 3x + 20 Reorder the terms: 10x + -1(4 + 5x) = 3x + 20 10x + (4 * -1 + 5x * -1) = 3x + 20 10x + (-4 + -5x) = 3x + 20 Reorder the terms: -4 + 10x + -5x = 3x + 20 Combine like terms: 10x + -5x = 5x -4 + 5x = 3x + 20 Reorder the terms: -4 + 5x = 20 + 3x Solving -4 + 5x = 20 + 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. -4 + 5x + -3x = 20 + 3x + -3x Combine like terms: 5x + -3x = 2x -4 + 2x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 2x = 20 + 0 -4 + 2x = 20 Add '4' to each side of the equation. -4 + 4 + 2x = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 20 + 4 2x = 20 + 4 Combine like terms: 20 + 4 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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