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Simplifying (2x + -3) + -1(-5x + 9) = 0 Reorder the terms: (-3 + 2x) + -1(-5x + 9) = 0 Remove parenthesis around (-3 + 2x) -3 + 2x + -1(-5x + 9) = 0 Reorder the terms: -3 + 2x + -1(9 + -5x) = 0 -3 + 2x + (9 * -1 + -5x * -1) = 0 -3 + 2x + (-9 + 5x) = 0 Reorder the terms: -3 + -9 + 2x + 5x = 0 Combine like terms: -3 + -9 = -12 -12 + 2x + 5x = 0 Combine like terms: 2x + 5x = 7x -12 + 7x = 0 Solving -12 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 7x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 0 + 12 7x = 0 + 12 Combine like terms: 0 + 12 = 12 7x = 12 Divide each side by '7'. x = 1.714285714 Simplifying x = 1.714285714
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