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Simplifying 4(2x + -5) + -3(2x + -1) = 8 Reorder the terms: 4(-5 + 2x) + -3(2x + -1) = 8 (-5 * 4 + 2x * 4) + -3(2x + -1) = 8 (-20 + 8x) + -3(2x + -1) = 8 Reorder the terms: -20 + 8x + -3(-1 + 2x) = 8 -20 + 8x + (-1 * -3 + 2x * -3) = 8 -20 + 8x + (3 + -6x) = 8 Reorder the terms: -20 + 3 + 8x + -6x = 8 Combine like terms: -20 + 3 = -17 -17 + 8x + -6x = 8 Combine like terms: 8x + -6x = 2x -17 + 2x = 8 Solving -17 + 2x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 2x = 8 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = 8 + 17 2x = 8 + 17 Combine like terms: 8 + 17 = 25 2x = 25 Divide each side by '2'. x = 12.5 Simplifying x = 12.5
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