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Simplifying 2(x + -5) + -4(x + -6) = 0 Reorder the terms: 2(-5 + x) + -4(x + -6) = 0 (-5 * 2 + x * 2) + -4(x + -6) = 0 (-10 + 2x) + -4(x + -6) = 0 Reorder the terms: -10 + 2x + -4(-6 + x) = 0 -10 + 2x + (-6 * -4 + x * -4) = 0 -10 + 2x + (24 + -4x) = 0 Reorder the terms: -10 + 24 + 2x + -4x = 0 Combine like terms: -10 + 24 = 14 14 + 2x + -4x = 0 Combine like terms: 2x + -4x = -2x 14 + -2x = 0 Solving 14 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -2x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 0 + -14 -2x = 0 + -14 Combine like terms: 0 + -14 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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