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Simplifying 8x + 7 = 4 + -1(5x + -5) Reorder the terms: 7 + 8x = 4 + -1(5x + -5) Reorder the terms: 7 + 8x = 4 + -1(-5 + 5x) 7 + 8x = 4 + (-5 * -1 + 5x * -1) 7 + 8x = 4 + (5 + -5x) Combine like terms: 4 + 5 = 9 7 + 8x = 9 + -5x Solving 7 + 8x = 9 + -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. 7 + 8x + 5x = 9 + -5x + 5x Combine like terms: 8x + 5x = 13x 7 + 13x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 13x = 9 + 0 7 + 13x = 9 Add '-7' to each side of the equation. 7 + -7 + 13x = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 13x = 9 + -7 13x = 9 + -7 Combine like terms: 9 + -7 = 2 13x = 2 Divide each side by '13'. x = 0.1538461538 Simplifying x = 0.1538461538
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