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Simplifying 3(3x + 1) + 6(x + -3) = 0 Reorder the terms: 3(1 + 3x) + 6(x + -3) = 0 (1 * 3 + 3x * 3) + 6(x + -3) = 0 (3 + 9x) + 6(x + -3) = 0 Reorder the terms: 3 + 9x + 6(-3 + x) = 0 3 + 9x + (-3 * 6 + x * 6) = 0 3 + 9x + (-18 + 6x) = 0 Reorder the terms: 3 + -18 + 9x + 6x = 0 Combine like terms: 3 + -18 = -15 -15 + 9x + 6x = 0 Combine like terms: 9x + 6x = 15x -15 + 15x = 0 Solving -15 + 15x = 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 + 15x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 15x = 0 + 15 15x = 0 + 15 Combine like terms: 0 + 15 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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