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Simplifying 2(4x + -3) + -5(x + -1) = 8 Reorder the terms: 2(-3 + 4x) + -5(x + -1) = 8 (-3 * 2 + 4x * 2) + -5(x + -1) = 8 (-6 + 8x) + -5(x + -1) = 8 Reorder the terms: -6 + 8x + -5(-1 + x) = 8 -6 + 8x + (-1 * -5 + x * -5) = 8 -6 + 8x + (5 + -5x) = 8 Reorder the terms: -6 + 5 + 8x + -5x = 8 Combine like terms: -6 + 5 = -1 -1 + 8x + -5x = 8 Combine like terms: 8x + -5x = 3x -1 + 3x = 8 Solving -1 + 3x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3x = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 8 + 1 3x = 8 + 1 Combine like terms: 8 + 1 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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