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Simplifying 24 + -11(x + -15) = 18x + -14 Reorder the terms: 24 + -11(-15 + x) = 18x + -14 24 + (-15 * -11 + x * -11) = 18x + -14 24 + (165 + -11x) = 18x + -14 Combine like terms: 24 + 165 = 189 189 + -11x = 18x + -14 Reorder the terms: 189 + -11x = -14 + 18x Solving 189 + -11x = -14 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 189 + -11x + -18x = -14 + 18x + -18x Combine like terms: -11x + -18x = -29x 189 + -29x = -14 + 18x + -18x Combine like terms: 18x + -18x = 0 189 + -29x = -14 + 0 189 + -29x = -14 Add '-189' to each side of the equation. 189 + -189 + -29x = -14 + -189 Combine like terms: 189 + -189 = 0 0 + -29x = -14 + -189 -29x = -14 + -189 Combine like terms: -14 + -189 = -203 -29x = -203 Divide each side by '-29'. x = 7 Simplifying x = 7
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