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Simplifying 4(2x + -1) + -1(3x + 2) = 8 Reorder the terms: 4(-1 + 2x) + -1(3x + 2) = 8 (-1 * 4 + 2x * 4) + -1(3x + 2) = 8 (-4 + 8x) + -1(3x + 2) = 8 Reorder the terms: -4 + 8x + -1(2 + 3x) = 8 -4 + 8x + (2 * -1 + 3x * -1) = 8 -4 + 8x + (-2 + -3x) = 8 Reorder the terms: -4 + -2 + 8x + -3x = 8 Combine like terms: -4 + -2 = -6 -6 + 8x + -3x = 8 Combine like terms: 8x + -3x = 5x -6 + 5x = 8 Solving -6 + 5x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 8 + 6 5x = 8 + 6 Combine like terms: 8 + 6 = 14 5x = 14 Divide each side by '5'. x = 2.8 Simplifying x = 2.8
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