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Simplifying 2x + -5(4 + -1x) = 3x + 8 2x + (4 * -5 + -1x * -5) = 3x + 8 2x + (-20 + 5x) = 3x + 8 Reorder the terms: -20 + 2x + 5x = 3x + 8 Combine like terms: 2x + 5x = 7x -20 + 7x = 3x + 8 Reorder the terms: -20 + 7x = 8 + 3x Solving -20 + 7x = 8 + 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. -20 + 7x + -3x = 8 + 3x + -3x Combine like terms: 7x + -3x = 4x -20 + 4x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + 4x = 8 + 0 -20 + 4x = 8 Add '20' to each side of the equation. -20 + 20 + 4x = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 8 + 20 4x = 8 + 20 Combine like terms: 8 + 20 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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