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Simplifying 5(7x + 5) = 4(8x + 6) Reorder the terms: 5(5 + 7x) = 4(8x + 6) (5 * 5 + 7x * 5) = 4(8x + 6) (25 + 35x) = 4(8x + 6) Reorder the terms: 25 + 35x = 4(6 + 8x) 25 + 35x = (6 * 4 + 8x * 4) 25 + 35x = (24 + 32x) Solving 25 + 35x = 24 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 25 + 35x + -32x = 24 + 32x + -32x Combine like terms: 35x + -32x = 3x 25 + 3x = 24 + 32x + -32x Combine like terms: 32x + -32x = 0 25 + 3x = 24 + 0 25 + 3x = 24 Add '-25' to each side of the equation. 25 + -25 + 3x = 24 + -25 Combine like terms: 25 + -25 = 0 0 + 3x = 24 + -25 3x = 24 + -25 Combine like terms: 24 + -25 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333
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