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Simplifying 5(x + -6) + 4(x + -2(x + -3)) = 0 Reorder the terms: 5(-6 + x) + 4(x + -2(x + -3)) = 0 (-6 * 5 + x * 5) + 4(x + -2(x + -3)) = 0 (-30 + 5x) + 4(x + -2(x + -3)) = 0 Reorder the terms: -30 + 5x + 4(x + -2(-3 + x)) = 0 -30 + 5x + 4(x + (-3 * -2 + x * -2)) = 0 -30 + 5x + 4(x + (6 + -2x)) = 0 Reorder the terms: -30 + 5x + 4(6 + x + -2x) = 0 Combine like terms: x + -2x = -1x -30 + 5x + 4(6 + -1x) = 0 -30 + 5x + (6 * 4 + -1x * 4) = 0 -30 + 5x + (24 + -4x) = 0 Reorder the terms: -30 + 24 + 5x + -4x = 0 Combine like terms: -30 + 24 = -6 -6 + 5x + -4x = 0 Combine like terms: 5x + -4x = 1x -6 + 1x = 0 Solving -6 + 1x = 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 + 1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 0 + 6 1x = 0 + 6 Combine like terms: 0 + 6 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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