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Simplifying 2(9 + -4x) = 3(4 + -2x) (9 * 2 + -4x * 2) = 3(4 + -2x) (18 + -8x) = 3(4 + -2x) 18 + -8x = (4 * 3 + -2x * 3) 18 + -8x = (12 + -6x) Solving 18 + -8x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 18 + -8x + 6x = 12 + -6x + 6x Combine like terms: -8x + 6x = -2x 18 + -2x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 18 + -2x = 12 + 0 18 + -2x = 12 Add '-18' to each side of the equation. 18 + -18 + -2x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 12 + -18 -2x = 12 + -18 Combine like terms: 12 + -18 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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