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Simplifying 42 + x = 5x + -7 Reorder the terms: 42 + x = -7 + 5x Solving 42 + x = -7 + 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 + x + -5x = -7 + 5x + -5x Combine like terms: x + -5x = -4x 42 + -4x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + -4x = -7 + 0 42 + -4x = -7 Add '-42' to each side of the equation. 42 + -42 + -4x = -7 + -42 Combine like terms: 42 + -42 = 0 0 + -4x = -7 + -42 -4x = -7 + -42 Combine like terms: -7 + -42 = -49 -4x = -49 Divide each side by '-4'. x = 12.25 Simplifying x = 12.25
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