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Simplifying 4x + 25 = 7(4x + 7) Reorder the terms: 25 + 4x = 7(4x + 7) Reorder the terms: 25 + 4x = 7(7 + 4x) 25 + 4x = (7 * 7 + 4x * 7) 25 + 4x = (49 + 28x) Solving 25 + 4x = 49 + 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. 25 + 4x + -28x = 49 + 28x + -28x Combine like terms: 4x + -28x = -24x 25 + -24x = 49 + 28x + -28x Combine like terms: 28x + -28x = 0 25 + -24x = 49 + 0 25 + -24x = 49 Add '-25' to each side of the equation. 25 + -25 + -24x = 49 + -25 Combine like terms: 25 + -25 = 0 0 + -24x = 49 + -25 -24x = 49 + -25 Combine like terms: 49 + -25 = 24 -24x = 24 Divide each side by '-24'. x = -1 Simplifying x = -1
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