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Simplifying 3(5x + 2) + 7(x + -3) = 0 Reorder the terms: 3(2 + 5x) + 7(x + -3) = 0 (2 * 3 + 5x * 3) + 7(x + -3) = 0 (6 + 15x) + 7(x + -3) = 0 Reorder the terms: 6 + 15x + 7(-3 + x) = 0 6 + 15x + (-3 * 7 + x * 7) = 0 6 + 15x + (-21 + 7x) = 0 Reorder the terms: 6 + -21 + 15x + 7x = 0 Combine like terms: 6 + -21 = -15 -15 + 15x + 7x = 0 Combine like terms: 15x + 7x = 22x -15 + 22x = 0 Solving -15 + 22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 22x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 22x = 0 + 15 22x = 0 + 15 Combine like terms: 0 + 15 = 15 22x = 15 Divide each side by '22'. x = 0.6818181818 Simplifying x = 0.6818181818
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