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Simplifying 18(7 + -2x) = 1(7 + 2x) (7 * 18 + -2x * 18) = 1(7 + 2x) (126 + -36x) = 1(7 + 2x) 126 + -36x = (7 * 1 + 2x * 1) 126 + -36x = (7 + 2x) Solving 126 + -36x = 7 + 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. 126 + -36x + -2x = 7 + 2x + -2x Combine like terms: -36x + -2x = -38x 126 + -38x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 126 + -38x = 7 + 0 126 + -38x = 7 Add '-126' to each side of the equation. 126 + -126 + -38x = 7 + -126 Combine like terms: 126 + -126 = 0 0 + -38x = 7 + -126 -38x = 7 + -126 Combine like terms: 7 + -126 = -119 -38x = -119 Divide each side by '-38'. x = 3.131578947 Simplifying x = 3.131578947
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