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Simplifying 5(x + 2) + -2(x + 8) = 0 Reorder the terms: 5(2 + x) + -2(x + 8) = 0 (2 * 5 + x * 5) + -2(x + 8) = 0 (10 + 5x) + -2(x + 8) = 0 Reorder the terms: 10 + 5x + -2(8 + x) = 0 10 + 5x + (8 * -2 + x * -2) = 0 10 + 5x + (-16 + -2x) = 0 Reorder the terms: 10 + -16 + 5x + -2x = 0 Combine like terms: 10 + -16 = -6 -6 + 5x + -2x = 0 Combine like terms: 5x + -2x = 3x -6 + 3x = 0 Solving -6 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 3x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 0 + 6 3x = 0 + 6 Combine like terms: 0 + 6 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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