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