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Simplifying 9 + -1(4x + 7) = 34 + -8x Reorder the terms: 9 + -1(7 + 4x) = 34 + -8x 9 + (7 * -1 + 4x * -1) = 34 + -8x 9 + (-7 + -4x) = 34 + -8x Combine like terms: 9 + -7 = 2 2 + -4x = 34 + -8x Solving 2 + -4x = 34 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 2 + -4x + 8x = 34 + -8x + 8x Combine like terms: -4x + 8x = 4x 2 + 4x = 34 + -8x + 8x Combine like terms: -8x + 8x = 0 2 + 4x = 34 + 0 2 + 4x = 34 Add '-2' to each side of the equation. 2 + -2 + 4x = 34 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 34 + -2 4x = 34 + -2 Combine like terms: 34 + -2 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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