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Simplifying 3(2x + -3) + -5(x + -2) = 0 Reorder the terms: 3(-3 + 2x) + -5(x + -2) = 0 (-3 * 3 + 2x * 3) + -5(x + -2) = 0 (-9 + 6x) + -5(x + -2) = 0 Reorder the terms: -9 + 6x + -5(-2 + x) = 0 -9 + 6x + (-2 * -5 + x * -5) = 0 -9 + 6x + (10 + -5x) = 0 Reorder the terms: -9 + 10 + 6x + -5x = 0 Combine like terms: -9 + 10 = 1 1 + 6x + -5x = 0 Combine like terms: 6x + -5x = 1x 1 + 1x = 0 Solving 1 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 0 + -1 1x = 0 + -1 Combine like terms: 0 + -1 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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