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Simplifying -9 + 6(5x + 3) = -9 + -5(6x + 8) Reorder the terms: -9 + 6(3 + 5x) = -9 + -5(6x + 8) -9 + (3 * 6 + 5x * 6) = -9 + -5(6x + 8) -9 + (18 + 30x) = -9 + -5(6x + 8) Combine like terms: -9 + 18 = 9 9 + 30x = -9 + -5(6x + 8) Reorder the terms: 9 + 30x = -9 + -5(8 + 6x) 9 + 30x = -9 + (8 * -5 + 6x * -5) 9 + 30x = -9 + (-40 + -30x) Combine like terms: -9 + -40 = -49 9 + 30x = -49 + -30x Solving 9 + 30x = -49 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 9 + 30x + 30x = -49 + -30x + 30x Combine like terms: 30x + 30x = 60x 9 + 60x = -49 + -30x + 30x Combine like terms: -30x + 30x = 0 9 + 60x = -49 + 0 9 + 60x = -49 Add '-9' to each side of the equation. 9 + -9 + 60x = -49 + -9 Combine like terms: 9 + -9 = 0 0 + 60x = -49 + -9 60x = -49 + -9 Combine like terms: -49 + -9 = -58 60x = -58 Divide each side by '60'. x = -0.9666666667 Simplifying x = -0.9666666667
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