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Simplifying 5(x + -2) = 3(x + 6) + -8 Reorder the terms: 5(-2 + x) = 3(x + 6) + -8 (-2 * 5 + x * 5) = 3(x + 6) + -8 (-10 + 5x) = 3(x + 6) + -8 Reorder the terms: -10 + 5x = 3(6 + x) + -8 -10 + 5x = (6 * 3 + x * 3) + -8 -10 + 5x = (18 + 3x) + -8 Reorder the terms: -10 + 5x = 18 + -8 + 3x Combine like terms: 18 + -8 = 10 -10 + 5x = 10 + 3x Solving -10 + 5x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 5x + -3x = 10 + 3x + -3x Combine like terms: 5x + -3x = 2x -10 + 2x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 2x = 10 + 0 -10 + 2x = 10 Add '10' to each side of the equation. -10 + 10 + 2x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 10 + 10 2x = 10 + 10 Combine like terms: 10 + 10 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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