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Simplifying 3(x + -3) + 2(2x + -5) = 0 Reorder the terms: 3(-3 + x) + 2(2x + -5) = 0 (-3 * 3 + x * 3) + 2(2x + -5) = 0 (-9 + 3x) + 2(2x + -5) = 0 Reorder the terms: -9 + 3x + 2(-5 + 2x) = 0 -9 + 3x + (-5 * 2 + 2x * 2) = 0 -9 + 3x + (-10 + 4x) = 0 Reorder the terms: -9 + -10 + 3x + 4x = 0 Combine like terms: -9 + -10 = -19 -19 + 3x + 4x = 0 Combine like terms: 3x + 4x = 7x -19 + 7x = 0 Solving -19 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 7x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 7x = 0 + 19 7x = 0 + 19 Combine like terms: 0 + 19 = 19 7x = 19 Divide each side by '7'. x = 2.714285714 Simplifying x = 2.714285714
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