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Simplifying 8x + -42 = 3x + 23 Reorder the terms: -42 + 8x = 3x + 23 Reorder the terms: -42 + 8x = 23 + 3x Solving -42 + 8x = 23 + 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 + 8x + -3x = 23 + 3x + -3x Combine like terms: 8x + -3x = 5x -42 + 5x = 23 + 3x + -3x Combine like terms: 3x + -3x = 0 -42 + 5x = 23 + 0 -42 + 5x = 23 Add '42' to each side of the equation. -42 + 42 + 5x = 23 + 42 Combine like terms: -42 + 42 = 0 0 + 5x = 23 + 42 5x = 23 + 42 Combine like terms: 23 + 42 = 65 5x = 65 Divide each side by '5'. x = 13 Simplifying x = 13
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