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Simplifying 8 + 5(x + -5) = 2 + -4(x + -4) Reorder the terms: 8 + 5(-5 + x) = 2 + -4(x + -4) 8 + (-5 * 5 + x * 5) = 2 + -4(x + -4) 8 + (-25 + 5x) = 2 + -4(x + -4) Combine like terms: 8 + -25 = -17 -17 + 5x = 2 + -4(x + -4) Reorder the terms: -17 + 5x = 2 + -4(-4 + x) -17 + 5x = 2 + (-4 * -4 + x * -4) -17 + 5x = 2 + (16 + -4x) Combine like terms: 2 + 16 = 18 -17 + 5x = 18 + -4x Solving -17 + 5x = 18 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -17 + 5x + 4x = 18 + -4x + 4x Combine like terms: 5x + 4x = 9x -17 + 9x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 -17 + 9x = 18 + 0 -17 + 9x = 18 Add '17' to each side of the equation. -17 + 17 + 9x = 18 + 17 Combine like terms: -17 + 17 = 0 0 + 9x = 18 + 17 9x = 18 + 17 Combine like terms: 18 + 17 = 35 9x = 35 Divide each side by '9'. x = 3.888888889 Simplifying x = 3.888888889
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