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Simplifying 5x + 27 = x + 7 Reorder the terms: 27 + 5x = x + 7 Reorder the terms: 27 + 5x = 7 + x Solving 27 + 5x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 27 + 5x + -1x = 7 + x + -1x Combine like terms: 5x + -1x = 4x 27 + 4x = 7 + x + -1x Combine like terms: x + -1x = 0 27 + 4x = 7 + 0 27 + 4x = 7 Add '-27' to each side of the equation. 27 + -27 + 4x = 7 + -27 Combine like terms: 27 + -27 = 0 0 + 4x = 7 + -27 4x = 7 + -27 Combine like terms: 7 + -27 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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