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Simplifying 2(3x + 1) + 5(x + -3) = 0 Reorder the terms: 2(1 + 3x) + 5(x + -3) = 0 (1 * 2 + 3x * 2) + 5(x + -3) = 0 (2 + 6x) + 5(x + -3) = 0 Reorder the terms: 2 + 6x + 5(-3 + x) = 0 2 + 6x + (-3 * 5 + x * 5) = 0 2 + 6x + (-15 + 5x) = 0 Reorder the terms: 2 + -15 + 6x + 5x = 0 Combine like terms: 2 + -15 = -13 -13 + 6x + 5x = 0 Combine like terms: 6x + 5x = 11x -13 + 11x = 0 Solving -13 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 11x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 11x = 0 + 13 11x = 0 + 13 Combine like terms: 0 + 13 = 13 11x = 13 Divide each side by '11'. x = 1.181818182 Simplifying x = 1.181818182
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