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