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Simplifying 5(3x + -7) + 9(2x + 2) = 0 Reorder the terms: 5(-7 + 3x) + 9(2x + 2) = 0 (-7 * 5 + 3x * 5) + 9(2x + 2) = 0 (-35 + 15x) + 9(2x + 2) = 0 Reorder the terms: -35 + 15x + 9(2 + 2x) = 0 -35 + 15x + (2 * 9 + 2x * 9) = 0 -35 + 15x + (18 + 18x) = 0 Reorder the terms: -35 + 18 + 15x + 18x = 0 Combine like terms: -35 + 18 = -17 -17 + 15x + 18x = 0 Combine like terms: 15x + 18x = 33x -17 + 33x = 0 Solving -17 + 33x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 33x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 33x = 0 + 17 33x = 0 + 17 Combine like terms: 0 + 17 = 17 33x = 17 Divide each side by '33'. x = 0.5151515152 Simplifying x = 0.5151515152
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