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Simplifying 11x + 1219 = 10(2 + 12x) Reorder the terms: 1219 + 11x = 10(2 + 12x) 1219 + 11x = (2 * 10 + 12x * 10) 1219 + 11x = (20 + 120x) Solving 1219 + 11x = 20 + 120x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120x' to each side of the equation. 1219 + 11x + -120x = 20 + 120x + -120x Combine like terms: 11x + -120x = -109x 1219 + -109x = 20 + 120x + -120x Combine like terms: 120x + -120x = 0 1219 + -109x = 20 + 0 1219 + -109x = 20 Add '-1219' to each side of the equation. 1219 + -1219 + -109x = 20 + -1219 Combine like terms: 1219 + -1219 = 0 0 + -109x = 20 + -1219 -109x = 20 + -1219 Combine like terms: 20 + -1219 = -1199 -109x = -1199 Divide each side by '-109'. x = 11 Simplifying x = 11
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