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Simplifying 5(2x + -2) + -2(x + 4) = -2 Reorder the terms: 5(-2 + 2x) + -2(x + 4) = -2 (-2 * 5 + 2x * 5) + -2(x + 4) = -2 (-10 + 10x) + -2(x + 4) = -2 Reorder the terms: -10 + 10x + -2(4 + x) = -2 -10 + 10x + (4 * -2 + x * -2) = -2 -10 + 10x + (-8 + -2x) = -2 Reorder the terms: -10 + -8 + 10x + -2x = -2 Combine like terms: -10 + -8 = -18 -18 + 10x + -2x = -2 Combine like terms: 10x + -2x = 8x -18 + 8x = -2 Solving -18 + 8x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 8x = -2 + 18 Combine like terms: -18 + 18 = 0 0 + 8x = -2 + 18 8x = -2 + 18 Combine like terms: -2 + 18 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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