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Simplifying 6x + 9(x + -3) = 5(x + -8) Reorder the terms: 6x + 9(-3 + x) = 5(x + -8) 6x + (-3 * 9 + x * 9) = 5(x + -8) 6x + (-27 + 9x) = 5(x + -8) Reorder the terms: -27 + 6x + 9x = 5(x + -8) Combine like terms: 6x + 9x = 15x -27 + 15x = 5(x + -8) Reorder the terms: -27 + 15x = 5(-8 + x) -27 + 15x = (-8 * 5 + x * 5) -27 + 15x = (-40 + 5x) Solving -27 + 15x = -40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -27 + 15x + -5x = -40 + 5x + -5x Combine like terms: 15x + -5x = 10x -27 + 10x = -40 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + 10x = -40 + 0 -27 + 10x = -40 Add '27' to each side of the equation. -27 + 27 + 10x = -40 + 27 Combine like terms: -27 + 27 = 0 0 + 10x = -40 + 27 10x = -40 + 27 Combine like terms: -40 + 27 = -13 10x = -13 Divide each side by '10'. x = -1.3 Simplifying x = -1.3
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