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Simplifying 27x + -1(3x + -9) = 3(x + 10) Reorder the terms: 27x + -1(-9 + 3x) = 3(x + 10) 27x + (-9 * -1 + 3x * -1) = 3(x + 10) 27x + (9 + -3x) = 3(x + 10) Reorder the terms: 9 + 27x + -3x = 3(x + 10) Combine like terms: 27x + -3x = 24x 9 + 24x = 3(x + 10) Reorder the terms: 9 + 24x = 3(10 + x) 9 + 24x = (10 * 3 + x * 3) 9 + 24x = (30 + 3x) Solving 9 + 24x = 30 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9 + 24x + -3x = 30 + 3x + -3x Combine like terms: 24x + -3x = 21x 9 + 21x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + 21x = 30 + 0 9 + 21x = 30 Add '-9' to each side of the equation. 9 + -9 + 21x = 30 + -9 Combine like terms: 9 + -9 = 0 0 + 21x = 30 + -9 21x = 30 + -9 Combine like terms: 30 + -9 = 21 21x = 21 Divide each side by '21'. x = 1 Simplifying x = 1
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