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Simplifying 2(49 + 7x) = (19 + -9x) * 3 (49 * 2 + 7x * 2) = (19 + -9x) * 3 (98 + 14x) = (19 + -9x) * 3 Reorder the terms for easier multiplication: 98 + 14x = 3(19 + -9x) 98 + 14x = (19 * 3 + -9x * 3) 98 + 14x = (57 + -27x) Solving 98 + 14x = 57 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. 98 + 14x + 27x = 57 + -27x + 27x Combine like terms: 14x + 27x = 41x 98 + 41x = 57 + -27x + 27x Combine like terms: -27x + 27x = 0 98 + 41x = 57 + 0 98 + 41x = 57 Add '-98' to each side of the equation. 98 + -98 + 41x = 57 + -98 Combine like terms: 98 + -98 = 0 0 + 41x = 57 + -98 41x = 57 + -98 Combine like terms: 57 + -98 = -41 41x = -41 Divide each side by '41'. x = -1 Simplifying x = -1
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