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Simplifying 9 + -5(7x + -6) = 21 + -3(9x + -12) Reorder the terms: 9 + -5(-6 + 7x) = 21 + -3(9x + -12) 9 + (-6 * -5 + 7x * -5) = 21 + -3(9x + -12) 9 + (30 + -35x) = 21 + -3(9x + -12) Combine like terms: 9 + 30 = 39 39 + -35x = 21 + -3(9x + -12) Reorder the terms: 39 + -35x = 21 + -3(-12 + 9x) 39 + -35x = 21 + (-12 * -3 + 9x * -3) 39 + -35x = 21 + (36 + -27x) Combine like terms: 21 + 36 = 57 39 + -35x = 57 + -27x Solving 39 + -35x = 57 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. 39 + -35x + 27x = 57 + -27x + 27x Combine like terms: -35x + 27x = -8x 39 + -8x = 57 + -27x + 27x Combine like terms: -27x + 27x = 0 39 + -8x = 57 + 0 39 + -8x = 57 Add '-39' to each side of the equation. 39 + -39 + -8x = 57 + -39 Combine like terms: 39 + -39 = 0 0 + -8x = 57 + -39 -8x = 57 + -39 Combine like terms: 57 + -39 = 18 -8x = 18 Divide each side by '-8'. x = -2.25 Simplifying x = -2.25
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