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Simplifying 6x + -5(3x + -2) = 64 + 18 Reorder the terms: 6x + -5(-2 + 3x) = 64 + 18 6x + (-2 * -5 + 3x * -5) = 64 + 18 6x + (10 + -15x) = 64 + 18 Reorder the terms: 10 + 6x + -15x = 64 + 18 Combine like terms: 6x + -15x = -9x 10 + -9x = 64 + 18 Combine like terms: 64 + 18 = 82 10 + -9x = 82 Solving 10 + -9x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -9x = 82 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = 82 + -10 -9x = 82 + -10 Combine like terms: 82 + -10 = 72 -9x = 72 Divide each side by '-9'. x = -8 Simplifying x = -8
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