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Simplifying x * 5 + 42 = x * 9 + -5 Reorder the terms for easier multiplication: 5x + 42 = x * 9 + -5 Reorder the terms: 42 + 5x = x * 9 + -5 Reorder the terms for easier multiplication: 42 + 5x = 9x + -5 Reorder the terms: 42 + 5x = -5 + 9x Solving 42 + 5x = -5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 42 + 5x + -9x = -5 + 9x + -9x Combine like terms: 5x + -9x = -4x 42 + -4x = -5 + 9x + -9x Combine like terms: 9x + -9x = 0 42 + -4x = -5 + 0 42 + -4x = -5 Add '-42' to each side of the equation. 42 + -42 + -4x = -5 + -42 Combine like terms: 42 + -42 = 0 0 + -4x = -5 + -42 -4x = -5 + -42 Combine like terms: -5 + -42 = -47 -4x = -47 Divide each side by '-4'. x = 11.75 Simplifying x = 11.75
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