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