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Simplifying 5(2x + -2) + -2(4x + 1) = 0 Reorder the terms: 5(-2 + 2x) + -2(4x + 1) = 0 (-2 * 5 + 2x * 5) + -2(4x + 1) = 0 (-10 + 10x) + -2(4x + 1) = 0 Reorder the terms: -10 + 10x + -2(1 + 4x) = 0 -10 + 10x + (1 * -2 + 4x * -2) = 0 -10 + 10x + (-2 + -8x) = 0 Reorder the terms: -10 + -2 + 10x + -8x = 0 Combine like terms: -10 + -2 = -12 -12 + 10x + -8x = 0 Combine like terms: 10x + -8x = 2x -12 + 2x = 0 Solving -12 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 2x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 0 + 12 2x = 0 + 12 Combine like terms: 0 + 12 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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