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Simplifying 14(x + 3) + -11(x + -2) = 20 Reorder the terms: 14(3 + x) + -11(x + -2) = 20 (3 * 14 + x * 14) + -11(x + -2) = 20 (42 + 14x) + -11(x + -2) = 20 Reorder the terms: 42 + 14x + -11(-2 + x) = 20 42 + 14x + (-2 * -11 + x * -11) = 20 42 + 14x + (22 + -11x) = 20 Reorder the terms: 42 + 22 + 14x + -11x = 20 Combine like terms: 42 + 22 = 64 64 + 14x + -11x = 20 Combine like terms: 14x + -11x = 3x 64 + 3x = 20 Solving 64 + 3x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 3x = 20 + -64 Combine like terms: 64 + -64 = 0 0 + 3x = 20 + -64 3x = 20 + -64 Combine like terms: 20 + -64 = -44 3x = -44 Divide each side by '3'. x = -14.66666667 Simplifying x = -14.66666667
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