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Simplifying 9(8 + -3x) = 6(7 + -2x) (8 * 9 + -3x * 9) = 6(7 + -2x) (72 + -27x) = 6(7 + -2x) 72 + -27x = (7 * 6 + -2x * 6) 72 + -27x = (42 + -12x) Solving 72 + -27x = 42 + -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. 72 + -27x + 12x = 42 + -12x + 12x Combine like terms: -27x + 12x = -15x 72 + -15x = 42 + -12x + 12x Combine like terms: -12x + 12x = 0 72 + -15x = 42 + 0 72 + -15x = 42 Add '-72' to each side of the equation. 72 + -72 + -15x = 42 + -72 Combine like terms: 72 + -72 = 0 0 + -15x = 42 + -72 -15x = 42 + -72 Combine like terms: 42 + -72 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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