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Simplifying 5x + 42 = 105 + -3x Reorder the terms: 42 + 5x = 105 + -3x Solving 42 + 5x = 105 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 42 + 5x + 3x = 105 + -3x + 3x Combine like terms: 5x + 3x = 8x 42 + 8x = 105 + -3x + 3x Combine like terms: -3x + 3x = 0 42 + 8x = 105 + 0 42 + 8x = 105 Add '-42' to each side of the equation. 42 + -42 + 8x = 105 + -42 Combine like terms: 42 + -42 = 0 0 + 8x = 105 + -42 8x = 105 + -42 Combine like terms: 105 + -42 = 63 8x = 63 Divide each side by '8'. x = 7.875 Simplifying x = 7.875
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