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Simplifying 9(3x + 4) = 8(x + -5) Reorder the terms: 9(4 + 3x) = 8(x + -5) (4 * 9 + 3x * 9) = 8(x + -5) (36 + 27x) = 8(x + -5) Reorder the terms: 36 + 27x = 8(-5 + x) 36 + 27x = (-5 * 8 + x * 8) 36 + 27x = (-40 + 8x) Solving 36 + 27x = -40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 36 + 27x + -8x = -40 + 8x + -8x Combine like terms: 27x + -8x = 19x 36 + 19x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 36 + 19x = -40 + 0 36 + 19x = -40 Add '-36' to each side of the equation. 36 + -36 + 19x = -40 + -36 Combine like terms: 36 + -36 = 0 0 + 19x = -40 + -36 19x = -40 + -36 Combine like terms: -40 + -36 = -76 19x = -76 Divide each side by '19'. x = -4 Simplifying x = -4
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