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Simplifying 3(3x + 1) + 6(x + -1) = -6 Reorder the terms: 3(1 + 3x) + 6(x + -1) = -6 (1 * 3 + 3x * 3) + 6(x + -1) = -6 (3 + 9x) + 6(x + -1) = -6 Reorder the terms: 3 + 9x + 6(-1 + x) = -6 3 + 9x + (-1 * 6 + x * 6) = -6 3 + 9x + (-6 + 6x) = -6 Reorder the terms: 3 + -6 + 9x + 6x = -6 Combine like terms: 3 + -6 = -3 -3 + 9x + 6x = -6 Combine like terms: 9x + 6x = 15x -3 + 15x = -6 Solving -3 + 15x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 15x = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 15x = -6 + 3 15x = -6 + 3 Combine like terms: -6 + 3 = -3 15x = -3 Divide each side by '15'. x = -0.2 Simplifying x = -0.2
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