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Simplifying 4x + 7 = 42 + -1x Reorder the terms: 7 + 4x = 42 + -1x Solving 7 + 4x = 42 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7 + 4x + x = 42 + -1x + x Combine like terms: 4x + x = 5x 7 + 5x = 42 + -1x + x Combine like terms: -1x + x = 0 7 + 5x = 42 + 0 7 + 5x = 42 Add '-7' to each side of the equation. 7 + -7 + 5x = 42 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 42 + -7 5x = 42 + -7 Combine like terms: 42 + -7 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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