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Simplifying 5x + 8 = 4 + -1(7x + -5) Reorder the terms: 8 + 5x = 4 + -1(7x + -5) Reorder the terms: 8 + 5x = 4 + -1(-5 + 7x) 8 + 5x = 4 + (-5 * -1 + 7x * -1) 8 + 5x = 4 + (5 + -7x) Combine like terms: 4 + 5 = 9 8 + 5x = 9 + -7x Solving 8 + 5x = 9 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 8 + 5x + 7x = 9 + -7x + 7x Combine like terms: 5x + 7x = 12x 8 + 12x = 9 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 12x = 9 + 0 8 + 12x = 9 Add '-8' to each side of the equation. 8 + -8 + 12x = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 12x = 9 + -8 12x = 9 + -8 Combine like terms: 9 + -8 = 1 12x = 1 Divide each side by '12'. x = 0.08333333333 Simplifying x = 0.08333333333
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