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Simplifying 5x + 1 = -1(x + -25) Reorder the terms: 1 + 5x = -1(x + -25) Reorder the terms: 1 + 5x = -1(-25 + x) 1 + 5x = (-25 * -1 + x * -1) 1 + 5x = (25 + -1x) Solving 1 + 5x = 25 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 1 + 5x + x = 25 + -1x + x Combine like terms: 5x + x = 6x 1 + 6x = 25 + -1x + x Combine like terms: -1x + x = 0 1 + 6x = 25 + 0 1 + 6x = 25 Add '-1' to each side of the equation. 1 + -1 + 6x = 25 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 25 + -1 6x = 25 + -1 Combine like terms: 25 + -1 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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