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Simplifying 14(3 + -7x) = -1(9 + 2x) (3 * 14 + -7x * 14) = -1(9 + 2x) (42 + -98x) = -1(9 + 2x) 42 + -98x = (9 * -1 + 2x * -1) 42 + -98x = (-9 + -2x) Solving 42 + -98x = -9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 42 + -98x + 2x = -9 + -2x + 2x Combine like terms: -98x + 2x = -96x 42 + -96x = -9 + -2x + 2x Combine like terms: -2x + 2x = 0 42 + -96x = -9 + 0 42 + -96x = -9 Add '-42' to each side of the equation. 42 + -42 + -96x = -9 + -42 Combine like terms: 42 + -42 = 0 0 + -96x = -9 + -42 -96x = -9 + -42 Combine like terms: -9 + -42 = -51 -96x = -51 Divide each side by '-96'. x = 0.53125 Simplifying x = 0.53125
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