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Simplifying 3x + 6 = -5x + 35 Reorder the terms: 6 + 3x = -5x + 35 Reorder the terms: 6 + 3x = 35 + -5x Solving 6 + 3x = 35 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + 3x + 5x = 35 + -5x + 5x Combine like terms: 3x + 5x = 8x 6 + 8x = 35 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 8x = 35 + 0 6 + 8x = 35 Add '-6' to each side of the equation. 6 + -6 + 8x = 35 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 35 + -6 8x = 35 + -6 Combine like terms: 35 + -6 = 29 8x = 29 Divide each side by '8'. x = 3.625 Simplifying x = 3.625
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