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Simplifying 7x + 8 = 8 + -1(4x + -5) Reorder the terms: 8 + 7x = 8 + -1(4x + -5) Reorder the terms: 8 + 7x = 8 + -1(-5 + 4x) 8 + 7x = 8 + (-5 * -1 + 4x * -1) 8 + 7x = 8 + (5 + -4x) Combine like terms: 8 + 5 = 13 8 + 7x = 13 + -4x Solving 8 + 7x = 13 + -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. 8 + 7x + 4x = 13 + -4x + 4x Combine like terms: 7x + 4x = 11x 8 + 11x = 13 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 11x = 13 + 0 8 + 11x = 13 Add '-8' to each side of the equation. 8 + -8 + 11x = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = 13 + -8 11x = 13 + -8 Combine like terms: 13 + -8 = 5 11x = 5 Divide each side by '11'. x = 0.4545454545 Simplifying x = 0.4545454545
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