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Simplifying 4(9 + -2x) = 3(4x + 2) (9 * 4 + -2x * 4) = 3(4x + 2) (36 + -8x) = 3(4x + 2) Reorder the terms: 36 + -8x = 3(2 + 4x) 36 + -8x = (2 * 3 + 4x * 3) 36 + -8x = (6 + 12x) Solving 36 + -8x = 6 + 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. 36 + -8x + -12x = 6 + 12x + -12x Combine like terms: -8x + -12x = -20x 36 + -20x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 36 + -20x = 6 + 0 36 + -20x = 6 Add '-36' to each side of the equation. 36 + -36 + -20x = 6 + -36 Combine like terms: 36 + -36 = 0 0 + -20x = 6 + -36 -20x = 6 + -36 Combine like terms: 6 + -36 = -30 -20x = -30 Divide each side by '-20'. x = 1.5 Simplifying x = 1.5
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