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Simplifying 27x + -6(3x + -5) = 40 Reorder the terms: 27x + -6(-5 + 3x) = 40 27x + (-5 * -6 + 3x * -6) = 40 27x + (30 + -18x) = 40 Reorder the terms: 30 + 27x + -18x = 40 Combine like terms: 27x + -18x = 9x 30 + 9x = 40 Solving 30 + 9x = 40 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 + 9x = 40 + -30 Combine like terms: 30 + -30 = 0 0 + 9x = 40 + -30 9x = 40 + -30 Combine like terms: 40 + -30 = 10 9x = 10 Divide each side by '9'. x = 1.111111111 Simplifying x = 1.111111111
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