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Simplifying 4(8x + -9) + 9 = 5x + 7 Reorder the terms: 4(-9 + 8x) + 9 = 5x + 7 (-9 * 4 + 8x * 4) + 9 = 5x + 7 (-36 + 32x) + 9 = 5x + 7 Reorder the terms: -36 + 9 + 32x = 5x + 7 Combine like terms: -36 + 9 = -27 -27 + 32x = 5x + 7 Reorder the terms: -27 + 32x = 7 + 5x Solving -27 + 32x = 7 + 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. -27 + 32x + -5x = 7 + 5x + -5x Combine like terms: 32x + -5x = 27x -27 + 27x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + 27x = 7 + 0 -27 + 27x = 7 Add '27' to each side of the equation. -27 + 27 + 27x = 7 + 27 Combine like terms: -27 + 27 = 0 0 + 27x = 7 + 27 27x = 7 + 27 Combine like terms: 7 + 27 = 34 27x = 34 Divide each side by '27'. x = 1.259259259 Simplifying x = 1.259259259
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