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Simplifying 2(x + -3) + -5(x + 1) + 2 + -1(1 + -8x) = 10 Reorder the terms: 2(-3 + x) + -5(x + 1) + 2 + -1(1 + -8x) = 10 (-3 * 2 + x * 2) + -5(x + 1) + 2 + -1(1 + -8x) = 10 (-6 + 2x) + -5(x + 1) + 2 + -1(1 + -8x) = 10 Reorder the terms: -6 + 2x + -5(1 + x) + 2 + -1(1 + -8x) = 10 -6 + 2x + (1 * -5 + x * -5) + 2 + -1(1 + -8x) = 10 -6 + 2x + (-5 + -5x) + 2 + -1(1 + -8x) = 10 -6 + 2x + -5 + -5x + 2 + (1 * -1 + -8x * -1) = 10 -6 + 2x + -5 + -5x + 2 + (-1 + 8x) = 10 Reorder the terms: -6 + -5 + 2 + -1 + 2x + -5x + 8x = 10 Combine like terms: -6 + -5 = -11 -11 + 2 + -1 + 2x + -5x + 8x = 10 Combine like terms: -11 + 2 = -9 -9 + -1 + 2x + -5x + 8x = 10 Combine like terms: -9 + -1 = -10 -10 + 2x + -5x + 8x = 10 Combine like terms: 2x + -5x = -3x -10 + -3x + 8x = 10 Combine like terms: -3x + 8x = 5x -10 + 5x = 10 Solving -10 + 5x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 5x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 10 + 10 5x = 10 + 10 Combine like terms: 10 + 10 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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