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Simplifying 7(x + -2) + 3(x + 6) = 0 Reorder the terms: 7(-2 + x) + 3(x + 6) = 0 (-2 * 7 + x * 7) + 3(x + 6) = 0 (-14 + 7x) + 3(x + 6) = 0 Reorder the terms: -14 + 7x + 3(6 + x) = 0 -14 + 7x + (6 * 3 + x * 3) = 0 -14 + 7x + (18 + 3x) = 0 Reorder the terms: -14 + 18 + 7x + 3x = 0 Combine like terms: -14 + 18 = 4 4 + 7x + 3x = 0 Combine like terms: 7x + 3x = 10x 4 + 10x = 0 Solving 4 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 10x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = 0 + -4 10x = 0 + -4 Combine like terms: 0 + -4 = -4 10x = -4 Divide each side by '10'. x = -0.4 Simplifying x = -0.4
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