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Simplifying 3(2x + -3) + -2(x + -5) = 0 Reorder the terms: 3(-3 + 2x) + -2(x + -5) = 0 (-3 * 3 + 2x * 3) + -2(x + -5) = 0 (-9 + 6x) + -2(x + -5) = 0 Reorder the terms: -9 + 6x + -2(-5 + x) = 0 -9 + 6x + (-5 * -2 + x * -2) = 0 -9 + 6x + (10 + -2x) = 0 Reorder the terms: -9 + 10 + 6x + -2x = 0 Combine like terms: -9 + 10 = 1 1 + 6x + -2x = 0 Combine like terms: 6x + -2x = 4x 1 + 4x = 0 Solving 1 + 4x = 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 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25
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