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Simplifying 6(x + -3) + -4(x + -5) = 0 Reorder the terms: 6(-3 + x) + -4(x + -5) = 0 (-3 * 6 + x * 6) + -4(x + -5) = 0 (-18 + 6x) + -4(x + -5) = 0 Reorder the terms: -18 + 6x + -4(-5 + x) = 0 -18 + 6x + (-5 * -4 + x * -4) = 0 -18 + 6x + (20 + -4x) = 0 Reorder the terms: -18 + 20 + 6x + -4x = 0 Combine like terms: -18 + 20 = 2 2 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x 2 + 2x = 0 Solving 2 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 0 + -2 2x = 0 + -2 Combine like terms: 0 + -2 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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