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Simplifying 5x + 1 = -1(x + -7) Reorder the terms: 1 + 5x = -1(x + -7) Reorder the terms: 1 + 5x = -1(-7 + x) 1 + 5x = (-7 * -1 + x * -1) 1 + 5x = (7 + -1x) Solving 1 + 5x = 7 + -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 = 7 + -1x + x Combine like terms: 5x + x = 6x 1 + 6x = 7 + -1x + x Combine like terms: -1x + x = 0 1 + 6x = 7 + 0 1 + 6x = 7 Add '-1' to each side of the equation. 1 + -1 + 6x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 7 + -1 6x = 7 + -1 Combine like terms: 7 + -1 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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