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Simplifying 2(x + -4) + 7(x + 2) = 0 Reorder the terms: 2(-4 + x) + 7(x + 2) = 0 (-4 * 2 + x * 2) + 7(x + 2) = 0 (-8 + 2x) + 7(x + 2) = 0 Reorder the terms: -8 + 2x + 7(2 + x) = 0 -8 + 2x + (2 * 7 + x * 7) = 0 -8 + 2x + (14 + 7x) = 0 Reorder the terms: -8 + 14 + 2x + 7x = 0 Combine like terms: -8 + 14 = 6 6 + 2x + 7x = 0 Combine like terms: 2x + 7x = 9x 6 + 9x = 0 Solving 6 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 9x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 0 + -6 9x = 0 + -6 Combine like terms: 0 + -6 = -6 9x = -6 Divide each side by '9'. x = -0.6666666667 Simplifying x = -0.6666666667
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