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Simplifying 3(x + -5) + 2(4x + 3) = 0 Reorder the terms: 3(-5 + x) + 2(4x + 3) = 0 (-5 * 3 + x * 3) + 2(4x + 3) = 0 (-15 + 3x) + 2(4x + 3) = 0 Reorder the terms: -15 + 3x + 2(3 + 4x) = 0 -15 + 3x + (3 * 2 + 4x * 2) = 0 -15 + 3x + (6 + 8x) = 0 Reorder the terms: -15 + 6 + 3x + 8x = 0 Combine like terms: -15 + 6 = -9 -9 + 3x + 8x = 0 Combine like terms: 3x + 8x = 11x -9 + 11x = 0 Solving -9 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 11x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 11x = 0 + 9 11x = 0 + 9 Combine like terms: 0 + 9 = 9 11x = 9 Divide each side by '11'. x = 0.8181818182 Simplifying x = 0.8181818182
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