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Simplifying 6(x + 3) + -4(x + -3) = 0 Reorder the terms: 6(3 + x) + -4(x + -3) = 0 (3 * 6 + x * 6) + -4(x + -3) = 0 (18 + 6x) + -4(x + -3) = 0 Reorder the terms: 18 + 6x + -4(-3 + x) = 0 18 + 6x + (-3 * -4 + x * -4) = 0 18 + 6x + (12 + -4x) = 0 Reorder the terms: 18 + 12 + 6x + -4x = 0 Combine like terms: 18 + 12 = 30 30 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x 30 + 2x = 0 Solving 30 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 2x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 0 + -30 2x = 0 + -30 Combine like terms: 0 + -30 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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