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Simplifying 1 + x = 7(5x + 5) Reorder the terms: 1 + x = 7(5 + 5x) 1 + x = (5 * 7 + 5x * 7) 1 + x = (35 + 35x) Solving 1 + x = 35 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 1 + x + -35x = 35 + 35x + -35x Combine like terms: x + -35x = -34x 1 + -34x = 35 + 35x + -35x Combine like terms: 35x + -35x = 0 1 + -34x = 35 + 0 1 + -34x = 35 Add '-1' to each side of the equation. 1 + -1 + -34x = 35 + -1 Combine like terms: 1 + -1 = 0 0 + -34x = 35 + -1 -34x = 35 + -1 Combine like terms: 35 + -1 = 34 -34x = 34 Divide each side by '-34'. x = -1 Simplifying x = -1
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