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Simplifying 8x + 42 = 5x + 35 Reorder the terms: 42 + 8x = 5x + 35 Reorder the terms: 42 + 8x = 35 + 5x Solving 42 + 8x = 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. 42 + 8x + -5x = 35 + 5x + -5x Combine like terms: 8x + -5x = 3x 42 + 3x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + 3x = 35 + 0 42 + 3x = 35 Add '-42' to each side of the equation. 42 + -42 + 3x = 35 + -42 Combine like terms: 42 + -42 = 0 0 + 3x = 35 + -42 3x = 35 + -42 Combine like terms: 35 + -42 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333
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