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Simplifying 6(x + -3) + -5(x + 3) = 0 Reorder the terms: 6(-3 + x) + -5(x + 3) = 0 (-3 * 6 + x * 6) + -5(x + 3) = 0 (-18 + 6x) + -5(x + 3) = 0 Reorder the terms: -18 + 6x + -5(3 + x) = 0 -18 + 6x + (3 * -5 + x * -5) = 0 -18 + 6x + (-15 + -5x) = 0 Reorder the terms: -18 + -15 + 6x + -5x = 0 Combine like terms: -18 + -15 = -33 -33 + 6x + -5x = 0 Combine like terms: 6x + -5x = 1x -33 + 1x = 0 Solving -33 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 1x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 1x = 0 + 33 1x = 0 + 33 Combine like terms: 0 + 33 = 33 1x = 33 Divide each side by '1'. x = 33 Simplifying x = 33
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