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Simplifying -3(3 + -5x) = 8x + 61 (3 * -3 + -5x * -3) = 8x + 61 (-9 + 15x) = 8x + 61 Reorder the terms: -9 + 15x = 61 + 8x Solving -9 + 15x = 61 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -9 + 15x + -8x = 61 + 8x + -8x Combine like terms: 15x + -8x = 7x -9 + 7x = 61 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + 7x = 61 + 0 -9 + 7x = 61 Add '9' to each side of the equation. -9 + 9 + 7x = 61 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 61 + 9 7x = 61 + 9 Combine like terms: 61 + 9 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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