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Simplifying 6(x + 3) + -1(3x + -3) = 0 Reorder the terms: 6(3 + x) + -1(3x + -3) = 0 (3 * 6 + x * 6) + -1(3x + -3) = 0 (18 + 6x) + -1(3x + -3) = 0 Reorder the terms: 18 + 6x + -1(-3 + 3x) = 0 18 + 6x + (-3 * -1 + 3x * -1) = 0 18 + 6x + (3 + -3x) = 0 Reorder the terms: 18 + 3 + 6x + -3x = 0 Combine like terms: 18 + 3 = 21 21 + 6x + -3x = 0 Combine like terms: 6x + -3x = 3x 21 + 3x = 0 Solving 21 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 3x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 0 + -21 3x = 0 + -21 Combine like terms: 0 + -21 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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