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Simplifying 7 + 5x = 7(4x + 1) Reorder the terms: 7 + 5x = 7(1 + 4x) 7 + 5x = (1 * 7 + 4x * 7) 7 + 5x = (7 + 28x) Add '-7' to each side of the equation. 7 + -7 + 5x = 7 + -7 + 28x Combine like terms: 7 + -7 = 0 0 + 5x = 7 + -7 + 28x 5x = 7 + -7 + 28x Combine like terms: 7 + -7 = 0 5x = 0 + 28x 5x = 28x Solving 5x = 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 5x + -28x = 28x + -28x Combine like terms: 5x + -28x = -23x -23x = 28x + -28x Combine like terms: 28x + -28x = 0 -23x = 0 Divide each side by '-23'. x = 0 Simplifying x = 0
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