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Simplifying 7 + 4(x + -8) = 2 + -9(x + -5) Reorder the terms: 7 + 4(-8 + x) = 2 + -9(x + -5) 7 + (-8 * 4 + x * 4) = 2 + -9(x + -5) 7 + (-32 + 4x) = 2 + -9(x + -5) Combine like terms: 7 + -32 = -25 -25 + 4x = 2 + -9(x + -5) Reorder the terms: -25 + 4x = 2 + -9(-5 + x) -25 + 4x = 2 + (-5 * -9 + x * -9) -25 + 4x = 2 + (45 + -9x) Combine like terms: 2 + 45 = 47 -25 + 4x = 47 + -9x Solving -25 + 4x = 47 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -25 + 4x + 9x = 47 + -9x + 9x Combine like terms: 4x + 9x = 13x -25 + 13x = 47 + -9x + 9x Combine like terms: -9x + 9x = 0 -25 + 13x = 47 + 0 -25 + 13x = 47 Add '25' to each side of the equation. -25 + 25 + 13x = 47 + 25 Combine like terms: -25 + 25 = 0 0 + 13x = 47 + 25 13x = 47 + 25 Combine like terms: 47 + 25 = 72 13x = 72 Divide each side by '13'. x = 5.538461538 Simplifying x = 5.538461538
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