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Simplifying 7x + 8 = 8 + -1(9x + -7) Reorder the terms: 8 + 7x = 8 + -1(9x + -7) Reorder the terms: 8 + 7x = 8 + -1(-7 + 9x) 8 + 7x = 8 + (-7 * -1 + 9x * -1) 8 + 7x = 8 + (7 + -9x) Combine like terms: 8 + 7 = 15 8 + 7x = 15 + -9x Solving 8 + 7x = 15 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 8 + 7x + 9x = 15 + -9x + 9x Combine like terms: 7x + 9x = 16x 8 + 16x = 15 + -9x + 9x Combine like terms: -9x + 9x = 0 8 + 16x = 15 + 0 8 + 16x = 15 Add '-8' to each side of the equation. 8 + -8 + 16x = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 16x = 15 + -8 16x = 15 + -8 Combine like terms: 15 + -8 = 7 16x = 7 Divide each side by '16'. x = 0.4375 Simplifying x = 0.4375
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