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Simplifying 4 + -1(3x + 8) = 5(2 + -1x) + -2 Reorder the terms: 4 + -1(8 + 3x) = 5(2 + -1x) + -2 4 + (8 * -1 + 3x * -1) = 5(2 + -1x) + -2 4 + (-8 + -3x) = 5(2 + -1x) + -2 Combine like terms: 4 + -8 = -4 -4 + -3x = 5(2 + -1x) + -2 -4 + -3x = (2 * 5 + -1x * 5) + -2 -4 + -3x = (10 + -5x) + -2 Reorder the terms: -4 + -3x = 10 + -2 + -5x Combine like terms: 10 + -2 = 8 -4 + -3x = 8 + -5x Solving -4 + -3x = 8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -4 + -3x + 5x = 8 + -5x + 5x Combine like terms: -3x + 5x = 2x -4 + 2x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 -4 + 2x = 8 + 0 -4 + 2x = 8 Add '4' to each side of the equation. -4 + 4 + 2x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 8 + 4 2x = 8 + 4 Combine like terms: 8 + 4 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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