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Simplifying 6(x + -5) + -4(x + -6) = 0 Reorder the terms: 6(-5 + x) + -4(x + -6) = 0 (-5 * 6 + x * 6) + -4(x + -6) = 0 (-30 + 6x) + -4(x + -6) = 0 Reorder the terms: -30 + 6x + -4(-6 + x) = 0 -30 + 6x + (-6 * -4 + x * -4) = 0 -30 + 6x + (24 + -4x) = 0 Reorder the terms: -30 + 24 + 6x + -4x = 0 Combine like terms: -30 + 24 = -6 -6 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x -6 + 2x = 0 Solving -6 + 2x = 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 + 2x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 0 + 6 2x = 0 + 6 Combine like terms: 0 + 6 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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