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Simplifying 3x + -35 = 6x + 8 + -5x + 30 Reorder the terms: -35 + 3x = 6x + 8 + -5x + 30 Reorder the terms: -35 + 3x = 8 + 30 + 6x + -5x Combine like terms: 8 + 30 = 38 -35 + 3x = 38 + 6x + -5x Combine like terms: 6x + -5x = 1x -35 + 3x = 38 + 1x Solving -35 + 3x = 38 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -35 + 3x + -1x = 38 + 1x + -1x Combine like terms: 3x + -1x = 2x -35 + 2x = 38 + 1x + -1x Combine like terms: 1x + -1x = 0 -35 + 2x = 38 + 0 -35 + 2x = 38 Add '35' to each side of the equation. -35 + 35 + 2x = 38 + 35 Combine like terms: -35 + 35 = 0 0 + 2x = 38 + 35 2x = 38 + 35 Combine like terms: 38 + 35 = 73 2x = 73 Divide each side by '2'. x = 36.5 Simplifying x = 36.5
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