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Simplifying 14(6x + 1) = 7(18x + -2) Reorder the terms: 14(1 + 6x) = 7(18x + -2) (1 * 14 + 6x * 14) = 7(18x + -2) (14 + 84x) = 7(18x + -2) Reorder the terms: 14 + 84x = 7(-2 + 18x) 14 + 84x = (-2 * 7 + 18x * 7) 14 + 84x = (-14 + 126x) Solving 14 + 84x = -14 + 126x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-126x' to each side of the equation. 14 + 84x + -126x = -14 + 126x + -126x Combine like terms: 84x + -126x = -42x 14 + -42x = -14 + 126x + -126x Combine like terms: 126x + -126x = 0 14 + -42x = -14 + 0 14 + -42x = -14 Add '-14' to each side of the equation. 14 + -14 + -42x = -14 + -14 Combine like terms: 14 + -14 = 0 0 + -42x = -14 + -14 -42x = -14 + -14 Combine like terms: -14 + -14 = -28 -42x = -28 Divide each side by '-42'. x = 0.6666666667 Simplifying x = 0.6666666667
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