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Simplifying -5(-3x + -1) = 8x + 33 Reorder the terms: -5(-1 + -3x) = 8x + 33 (-1 * -5 + -3x * -5) = 8x + 33 (5 + 15x) = 8x + 33 Reorder the terms: 5 + 15x = 33 + 8x Solving 5 + 15x = 33 + 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. 5 + 15x + -8x = 33 + 8x + -8x Combine like terms: 15x + -8x = 7x 5 + 7x = 33 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + 7x = 33 + 0 5 + 7x = 33 Add '-5' to each side of the equation. 5 + -5 + 7x = 33 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 33 + -5 7x = 33 + -5 Combine like terms: 33 + -5 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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