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Simplifying 1 = 5(x + -5) + 1 Reorder the terms: 1 = 5(-5 + x) + 1 1 = (-5 * 5 + x * 5) + 1 1 = (-25 + 5x) + 1 Reorder the terms: 1 = -25 + 1 + 5x Combine like terms: -25 + 1 = -24 1 = -24 + 5x Solving 1 = -24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + -5x = -24 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -5x = -24 + 0 1 + -5x = -24 Add '-1' to each side of the equation. 1 + -1 + -5x = -24 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = -24 + -1 -5x = -24 + -1 Combine like terms: -24 + -1 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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