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Simplifying 5(8x + -2) = 2x + 66 Reorder the terms: 5(-2 + 8x) = 2x + 66 (-2 * 5 + 8x * 5) = 2x + 66 (-10 + 40x) = 2x + 66 Reorder the terms: -10 + 40x = 66 + 2x Solving -10 + 40x = 66 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + 40x + -2x = 66 + 2x + -2x Combine like terms: 40x + -2x = 38x -10 + 38x = 66 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 38x = 66 + 0 -10 + 38x = 66 Add '10' to each side of the equation. -10 + 10 + 38x = 66 + 10 Combine like terms: -10 + 10 = 0 0 + 38x = 66 + 10 38x = 66 + 10 Combine like terms: 66 + 10 = 76 38x = 76 Divide each side by '38'. x = 2 Simplifying x = 2
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