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Simplifying 12(x + -19) = 82 + -14(x + -2) Reorder the terms: 12(-19 + x) = 82 + -14(x + -2) (-19 * 12 + x * 12) = 82 + -14(x + -2) (-228 + 12x) = 82 + -14(x + -2) Reorder the terms: -228 + 12x = 82 + -14(-2 + x) -228 + 12x = 82 + (-2 * -14 + x * -14) -228 + 12x = 82 + (28 + -14x) Combine like terms: 82 + 28 = 110 -228 + 12x = 110 + -14x Solving -228 + 12x = 110 + -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. -228 + 12x + 14x = 110 + -14x + 14x Combine like terms: 12x + 14x = 26x -228 + 26x = 110 + -14x + 14x Combine like terms: -14x + 14x = 0 -228 + 26x = 110 + 0 -228 + 26x = 110 Add '228' to each side of the equation. -228 + 228 + 26x = 110 + 228 Combine like terms: -228 + 228 = 0 0 + 26x = 110 + 228 26x = 110 + 228 Combine like terms: 110 + 228 = 338 26x = 338 Divide each side by '26'. x = 13 Simplifying x = 13
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