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Simplifying 3(3x + 3) = -7(x + 5) Reorder the terms: 3(3 + 3x) = -7(x + 5) (3 * 3 + 3x * 3) = -7(x + 5) (9 + 9x) = -7(x + 5) Reorder the terms: 9 + 9x = -7(5 + x) 9 + 9x = (5 * -7 + x * -7) 9 + 9x = (-35 + -7x) Solving 9 + 9x = -35 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 9 + 9x + 7x = -35 + -7x + 7x Combine like terms: 9x + 7x = 16x 9 + 16x = -35 + -7x + 7x Combine like terms: -7x + 7x = 0 9 + 16x = -35 + 0 9 + 16x = -35 Add '-9' to each side of the equation. 9 + -9 + 16x = -35 + -9 Combine like terms: 9 + -9 = 0 0 + 16x = -35 + -9 16x = -35 + -9 Combine like terms: -35 + -9 = -44 16x = -44 Divide each side by '16'. x = -2.75 Simplifying x = -2.75
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