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Simplifying 3(-9x + -5) = 3 + 3(8 + -7x) Reorder the terms: 3(-5 + -9x) = 3 + 3(8 + -7x) (-5 * 3 + -9x * 3) = 3 + 3(8 + -7x) (-15 + -27x) = 3 + 3(8 + -7x) -15 + -27x = 3 + (8 * 3 + -7x * 3) -15 + -27x = 3 + (24 + -21x) Combine like terms: 3 + 24 = 27 -15 + -27x = 27 + -21x Solving -15 + -27x = 27 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -15 + -27x + 21x = 27 + -21x + 21x Combine like terms: -27x + 21x = -6x -15 + -6x = 27 + -21x + 21x Combine like terms: -21x + 21x = 0 -15 + -6x = 27 + 0 -15 + -6x = 27 Add '15' to each side of the equation. -15 + 15 + -6x = 27 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = 27 + 15 -6x = 27 + 15 Combine like terms: 27 + 15 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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