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Simplifying -8(x + 4) + 2x + 7 = 5x + 9 Reorder the terms: -8(4 + x) + 2x + 7 = 5x + 9 (4 * -8 + x * -8) + 2x + 7 = 5x + 9 (-32 + -8x) + 2x + 7 = 5x + 9 Reorder the terms: -32 + 7 + -8x + 2x = 5x + 9 Combine like terms: -32 + 7 = -25 -25 + -8x + 2x = 5x + 9 Combine like terms: -8x + 2x = -6x -25 + -6x = 5x + 9 Reorder the terms: -25 + -6x = 9 + 5x Solving -25 + -6x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -25 + -6x + -5x = 9 + 5x + -5x Combine like terms: -6x + -5x = -11x -25 + -11x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -25 + -11x = 9 + 0 -25 + -11x = 9 Add '25' to each side of the equation. -25 + 25 + -11x = 9 + 25 Combine like terms: -25 + 25 = 0 0 + -11x = 9 + 25 -11x = 9 + 25 Combine like terms: 9 + 25 = 34 -11x = 34 Divide each side by '-11'. x = -3.090909091 Simplifying x = -3.090909091
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