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Simplifying (27x + 10) + -1(15x + -8) = 0 Reorder the terms: (10 + 27x) + -1(15x + -8) = 0 Remove parenthesis around (10 + 27x) 10 + 27x + -1(15x + -8) = 0 Reorder the terms: 10 + 27x + -1(-8 + 15x) = 0 10 + 27x + (-8 * -1 + 15x * -1) = 0 10 + 27x + (8 + -15x) = 0 Reorder the terms: 10 + 8 + 27x + -15x = 0 Combine like terms: 10 + 8 = 18 18 + 27x + -15x = 0 Combine like terms: 27x + -15x = 12x 18 + 12x = 0 Solving 18 + 12x = 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 + 12x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 12x = 0 + -18 12x = 0 + -18 Combine like terms: 0 + -18 = -18 12x = -18 Divide each side by '12'. x = -1.5 Simplifying x = -1.5
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