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Simplifying 8x + -13 = 3x + 42 Reorder the terms: -13 + 8x = 3x + 42 Reorder the terms: -13 + 8x = 42 + 3x Solving -13 + 8x = 42 + 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. -13 + 8x + -3x = 42 + 3x + -3x Combine like terms: 8x + -3x = 5x -13 + 5x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + 5x = 42 + 0 -13 + 5x = 42 Add '13' to each side of the equation. -13 + 13 + 5x = 42 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = 42 + 13 5x = 42 + 13 Combine like terms: 42 + 13 = 55 5x = 55 Divide each side by '5'. x = 11 Simplifying x = 11
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