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Simplifying 7x + 8 = 6 + -1(7x + -9) Reorder the terms: 8 + 7x = 6 + -1(7x + -9) Reorder the terms: 8 + 7x = 6 + -1(-9 + 7x) 8 + 7x = 6 + (-9 * -1 + 7x * -1) 8 + 7x = 6 + (9 + -7x) Combine like terms: 6 + 9 = 15 8 + 7x = 15 + -7x Solving 8 + 7x = 15 + -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 + 7x + 7x = 15 + -7x + 7x Combine like terms: 7x + 7x = 14x 8 + 14x = 15 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 14x = 15 + 0 8 + 14x = 15 Add '-8' to each side of the equation. 8 + -8 + 14x = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 14x = 15 + -8 14x = 15 + -8 Combine like terms: 15 + -8 = 7 14x = 7 Divide each side by '14'. x = 0.5 Simplifying x = 0.5
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