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Simplifying 5x + 1 = -1(4x + -7) Reorder the terms: 1 + 5x = -1(4x + -7) Reorder the terms: 1 + 5x = -1(-7 + 4x) 1 + 5x = (-7 * -1 + 4x * -1) 1 + 5x = (7 + -4x) Solving 1 + 5x = 7 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 1 + 5x + 4x = 7 + -4x + 4x Combine like terms: 5x + 4x = 9x 1 + 9x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 9x = 7 + 0 1 + 9x = 7 Add '-1' to each side of the equation. 1 + -1 + 9x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = 7 + -1 9x = 7 + -1 Combine like terms: 7 + -1 = 6 9x = 6 Divide each side by '9'. x = 0.6666666667 Simplifying x = 0.6666666667
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