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Simplifying 14(x + 3) + -11(x + -2) = 80 Reorder the terms: 14(3 + x) + -11(x + -2) = 80 (3 * 14 + x * 14) + -11(x + -2) = 80 (42 + 14x) + -11(x + -2) = 80 Reorder the terms: 42 + 14x + -11(-2 + x) = 80 42 + 14x + (-2 * -11 + x * -11) = 80 42 + 14x + (22 + -11x) = 80 Reorder the terms: 42 + 22 + 14x + -11x = 80 Combine like terms: 42 + 22 = 64 64 + 14x + -11x = 80 Combine like terms: 14x + -11x = 3x 64 + 3x = 80 Solving 64 + 3x = 80 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 = 80 + -64 Combine like terms: 64 + -64 = 0 0 + 3x = 80 + -64 3x = 80 + -64 Combine like terms: 80 + -64 = 16 3x = 16 Divide each side by '3'. x = 5.333333333 Simplifying x = 5.333333333
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