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Simplifying 11 + 3(10 + -7x) = 27 + -14x 11 + (10 * 3 + -7x * 3) = 27 + -14x 11 + (30 + -21x) = 27 + -14x Combine like terms: 11 + 30 = 41 41 + -21x = 27 + -14x Solving 41 + -21x = 27 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 41 + -21x + 14x = 27 + -14x + 14x Combine like terms: -21x + 14x = -7x 41 + -7x = 27 + -14x + 14x Combine like terms: -14x + 14x = 0 41 + -7x = 27 + 0 41 + -7x = 27 Add '-41' to each side of the equation. 41 + -41 + -7x = 27 + -41 Combine like terms: 41 + -41 = 0 0 + -7x = 27 + -41 -7x = 27 + -41 Combine like terms: 27 + -41 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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