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Simplifying 5(x + -1) + -3(x + 2) = 8 Reorder the terms: 5(-1 + x) + -3(x + 2) = 8 (-1 * 5 + x * 5) + -3(x + 2) = 8 (-5 + 5x) + -3(x + 2) = 8 Reorder the terms: -5 + 5x + -3(2 + x) = 8 -5 + 5x + (2 * -3 + x * -3) = 8 -5 + 5x + (-6 + -3x) = 8 Reorder the terms: -5 + -6 + 5x + -3x = 8 Combine like terms: -5 + -6 = -11 -11 + 5x + -3x = 8 Combine like terms: 5x + -3x = 2x -11 + 2x = 8 Solving -11 + 2x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 2x = 8 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = 8 + 11 2x = 8 + 11 Combine like terms: 8 + 11 = 19 2x = 19 Divide each side by '2'. x = 9.5 Simplifying x = 9.5
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