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Simplifying 5(2x + -3) + 3(x + 4) = 0 Reorder the terms: 5(-3 + 2x) + 3(x + 4) = 0 (-3 * 5 + 2x * 5) + 3(x + 4) = 0 (-15 + 10x) + 3(x + 4) = 0 Reorder the terms: -15 + 10x + 3(4 + x) = 0 -15 + 10x + (4 * 3 + x * 3) = 0 -15 + 10x + (12 + 3x) = 0 Reorder the terms: -15 + 12 + 10x + 3x = 0 Combine like terms: -15 + 12 = -3 -3 + 10x + 3x = 0 Combine like terms: 10x + 3x = 13x -3 + 13x = 0 Solving -3 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 13x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 13x = 0 + 3 13x = 0 + 3 Combine like terms: 0 + 3 = 3 13x = 3 Divide each side by '13'. x = 0.2307692308 Simplifying x = 0.2307692308
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