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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 = -100x 42 + -100x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 42 + -100x = 9 + 0 42 + -100x = 9 Add '-42' to each side of the equation. 42 + -42 + -100x = 9 + -42 Combine like terms: 42 + -42 = 0 0 + -100x = 9 + -42 -100x = 9 + -42 Combine like terms: 9 + -42 = -33 -100x = -33 Divide each side by '-100'. x = 0.33 Simplifying x = 0.33
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