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Simplifying 2(9 + -1x) = 3(4x + 7) (9 * 2 + -1x * 2) = 3(4x + 7) (18 + -2x) = 3(4x + 7) Reorder the terms: 18 + -2x = 3(7 + 4x) 18 + -2x = (7 * 3 + 4x * 3) 18 + -2x = (21 + 12x) Solving 18 + -2x = 21 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 18 + -2x + -12x = 21 + 12x + -12x Combine like terms: -2x + -12x = -14x 18 + -14x = 21 + 12x + -12x Combine like terms: 12x + -12x = 0 18 + -14x = 21 + 0 18 + -14x = 21 Add '-18' to each side of the equation. 18 + -18 + -14x = 21 + -18 Combine like terms: 18 + -18 = 0 0 + -14x = 21 + -18 -14x = 21 + -18 Combine like terms: 21 + -18 = 3 -14x = 3 Divide each side by '-14'. x = -0.2142857143 Simplifying x = -0.2142857143
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