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Simplifying 2(x + -5) + -4(x + -6) = 9 Reorder the terms: 2(-5 + x) + -4(x + -6) = 9 (-5 * 2 + x * 2) + -4(x + -6) = 9 (-10 + 2x) + -4(x + -6) = 9 Reorder the terms: -10 + 2x + -4(-6 + x) = 9 -10 + 2x + (-6 * -4 + x * -4) = 9 -10 + 2x + (24 + -4x) = 9 Reorder the terms: -10 + 24 + 2x + -4x = 9 Combine like terms: -10 + 24 = 14 14 + 2x + -4x = 9 Combine like terms: 2x + -4x = -2x 14 + -2x = 9 Solving 14 + -2x = 9 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 = 9 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 9 + -14 -2x = 9 + -14 Combine like terms: 9 + -14 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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