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Simplifying 7x + 4 = 8 + -1(5x + -5) Reorder the terms: 4 + 7x = 8 + -1(5x + -5) Reorder the terms: 4 + 7x = 8 + -1(-5 + 5x) 4 + 7x = 8 + (-5 * -1 + 5x * -1) 4 + 7x = 8 + (5 + -5x) Combine like terms: 8 + 5 = 13 4 + 7x = 13 + -5x Solving 4 + 7x = 13 + -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. 4 + 7x + 5x = 13 + -5x + 5x Combine like terms: 7x + 5x = 12x 4 + 12x = 13 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + 12x = 13 + 0 4 + 12x = 13 Add '-4' to each side of the equation. 4 + -4 + 12x = 13 + -4 Combine like terms: 4 + -4 = 0 0 + 12x = 13 + -4 12x = 13 + -4 Combine like terms: 13 + -4 = 9 12x = 9 Divide each side by '12'. x = 0.75 Simplifying x = 0.75
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