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Simplifying 2x + 5 = 5 + -1(7x + -8) Reorder the terms: 5 + 2x = 5 + -1(7x + -8) Reorder the terms: 5 + 2x = 5 + -1(-8 + 7x) 5 + 2x = 5 + (-8 * -1 + 7x * -1) 5 + 2x = 5 + (8 + -7x) Combine like terms: 5 + 8 = 13 5 + 2x = 13 + -7x Solving 5 + 2x = 13 + -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. 5 + 2x + 7x = 13 + -7x + 7x Combine like terms: 2x + 7x = 9x 5 + 9x = 13 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + 9x = 13 + 0 5 + 9x = 13 Add '-5' to each side of the equation. 5 + -5 + 9x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 13 + -5 9x = 13 + -5 Combine like terms: 13 + -5 = 8 9x = 8 Divide each side by '9'. x = 0.8888888889 Simplifying x = 0.8888888889
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