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Simplifying 3x + 33x + -8 = 7(5x + 1) Reorder the terms: -8 + 3x + 33x = 7(5x + 1) Combine like terms: 3x + 33x = 36x -8 + 36x = 7(5x + 1) Reorder the terms: -8 + 36x = 7(1 + 5x) -8 + 36x = (1 * 7 + 5x * 7) -8 + 36x = (7 + 35x) Solving -8 + 36x = 7 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -8 + 36x + -35x = 7 + 35x + -35x Combine like terms: 36x + -35x = 1x -8 + 1x = 7 + 35x + -35x Combine like terms: 35x + -35x = 0 -8 + 1x = 7 + 0 -8 + 1x = 7 Add '8' to each side of the equation. -8 + 8 + 1x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 7 + 8 1x = 7 + 8 Combine like terms: 7 + 8 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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