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Simplifying 2x + 9 = 4 + -7(x + -8) Reorder the terms: 9 + 2x = 4 + -7(x + -8) Reorder the terms: 9 + 2x = 4 + -7(-8 + x) 9 + 2x = 4 + (-8 * -7 + x * -7) 9 + 2x = 4 + (56 + -7x) Combine like terms: 4 + 56 = 60 9 + 2x = 60 + -7x Solving 9 + 2x = 60 + -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. 9 + 2x + 7x = 60 + -7x + 7x Combine like terms: 2x + 7x = 9x 9 + 9x = 60 + -7x + 7x Combine like terms: -7x + 7x = 0 9 + 9x = 60 + 0 9 + 9x = 60 Add '-9' to each side of the equation. 9 + -9 + 9x = 60 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = 60 + -9 9x = 60 + -9 Combine like terms: 60 + -9 = 51 9x = 51 Divide each side by '9'. x = 5.666666667 Simplifying x = 5.666666667
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