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Simplifying 3(2x + 1) + 5(x + -3) = 0 Reorder the terms: 3(1 + 2x) + 5(x + -3) = 0 (1 * 3 + 2x * 3) + 5(x + -3) = 0 (3 + 6x) + 5(x + -3) = 0 Reorder the terms: 3 + 6x + 5(-3 + x) = 0 3 + 6x + (-3 * 5 + x * 5) = 0 3 + 6x + (-15 + 5x) = 0 Reorder the terms: 3 + -15 + 6x + 5x = 0 Combine like terms: 3 + -15 = -12 -12 + 6x + 5x = 0 Combine like terms: 6x + 5x = 11x -12 + 11x = 0 Solving -12 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 11x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 0 + 12 11x = 0 + 12 Combine like terms: 0 + 12 = 12 11x = 12 Divide each side by '11'. x = 1.090909091 Simplifying x = 1.090909091
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