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Simplifying 5(x + -1) + -2(x + 2) + -5 = 10 Reorder the terms: 5(-1 + x) + -2(x + 2) + -5 = 10 (-1 * 5 + x * 5) + -2(x + 2) + -5 = 10 (-5 + 5x) + -2(x + 2) + -5 = 10 Reorder the terms: -5 + 5x + -2(2 + x) + -5 = 10 -5 + 5x + (2 * -2 + x * -2) + -5 = 10 -5 + 5x + (-4 + -2x) + -5 = 10 Reorder the terms: -5 + -4 + -5 + 5x + -2x = 10 Combine like terms: -5 + -4 = -9 -9 + -5 + 5x + -2x = 10 Combine like terms: -9 + -5 = -14 -14 + 5x + -2x = 10 Combine like terms: 5x + -2x = 3x -14 + 3x = 10 Solving -14 + 3x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 3x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 10 + 14 3x = 10 + 14 Combine like terms: 10 + 14 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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