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Simplifying 8 + -1(4x + 25) = 5(x + 6) Reorder the terms: 8 + -1(25 + 4x) = 5(x + 6) 8 + (25 * -1 + 4x * -1) = 5(x + 6) 8 + (-25 + -4x) = 5(x + 6) Combine like terms: 8 + -25 = -17 -17 + -4x = 5(x + 6) Reorder the terms: -17 + -4x = 5(6 + x) -17 + -4x = (6 * 5 + x * 5) -17 + -4x = (30 + 5x) Solving -17 + -4x = 30 + 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. -17 + -4x + -5x = 30 + 5x + -5x Combine like terms: -4x + -5x = -9x -17 + -9x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 -17 + -9x = 30 + 0 -17 + -9x = 30 Add '17' to each side of the equation. -17 + 17 + -9x = 30 + 17 Combine like terms: -17 + 17 = 0 0 + -9x = 30 + 17 -9x = 30 + 17 Combine like terms: 30 + 17 = 47 -9x = 47 Divide each side by '-9'. x = -5.222222222 Simplifying x = -5.222222222
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