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Simplifying 5(3x + 6) + -2(3x + 6) = 0 Reorder the terms: 5(6 + 3x) + -2(3x + 6) = 0 (6 * 5 + 3x * 5) + -2(3x + 6) = 0 (30 + 15x) + -2(3x + 6) = 0 Reorder the terms: 30 + 15x + -2(6 + 3x) = 0 30 + 15x + (6 * -2 + 3x * -2) = 0 30 + 15x + (-12 + -6x) = 0 Reorder the terms: 30 + -12 + 15x + -6x = 0 Combine like terms: 30 + -12 = 18 18 + 15x + -6x = 0 Combine like terms: 15x + -6x = 9x 18 + 9x = 0 Solving 18 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 9x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 9x = 0 + -18 9x = 0 + -18 Combine like terms: 0 + -18 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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