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Simplifying 3(3x + -5) + 2(5x + 4) = 0 Reorder the terms: 3(-5 + 3x) + 2(5x + 4) = 0 (-5 * 3 + 3x * 3) + 2(5x + 4) = 0 (-15 + 9x) + 2(5x + 4) = 0 Reorder the terms: -15 + 9x + 2(4 + 5x) = 0 -15 + 9x + (4 * 2 + 5x * 2) = 0 -15 + 9x + (8 + 10x) = 0 Reorder the terms: -15 + 8 + 9x + 10x = 0 Combine like terms: -15 + 8 = -7 -7 + 9x + 10x = 0 Combine like terms: 9x + 10x = 19x -7 + 19x = 0 Solving -7 + 19x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 19x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 19x = 0 + 7 19x = 0 + 7 Combine like terms: 0 + 7 = 7 19x = 7 Divide each side by '19'. x = 0.3684210526 Simplifying x = 0.3684210526
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