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Simplifying 8x + -5(x + 5) = 9(5 + -6x) + 7 Reorder the terms: 8x + -5(5 + x) = 9(5 + -6x) + 7 8x + (5 * -5 + x * -5) = 9(5 + -6x) + 7 8x + (-25 + -5x) = 9(5 + -6x) + 7 Reorder the terms: -25 + 8x + -5x = 9(5 + -6x) + 7 Combine like terms: 8x + -5x = 3x -25 + 3x = 9(5 + -6x) + 7 -25 + 3x = (5 * 9 + -6x * 9) + 7 -25 + 3x = (45 + -54x) + 7 Reorder the terms: -25 + 3x = 45 + 7 + -54x Combine like terms: 45 + 7 = 52 -25 + 3x = 52 + -54x Solving -25 + 3x = 52 + -54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54x' to each side of the equation. -25 + 3x + 54x = 52 + -54x + 54x Combine like terms: 3x + 54x = 57x -25 + 57x = 52 + -54x + 54x Combine like terms: -54x + 54x = 0 -25 + 57x = 52 + 0 -25 + 57x = 52 Add '25' to each side of the equation. -25 + 25 + 57x = 52 + 25 Combine like terms: -25 + 25 = 0 0 + 57x = 52 + 25 57x = 52 + 25 Combine like terms: 52 + 25 = 77 57x = 77 Divide each side by '57'. x = 1.350877193 Simplifying x = 1.350877193
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