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Simplifying 5 + 5(x + -6) = 6 + -4(x + -9) Reorder the terms: 5 + 5(-6 + x) = 6 + -4(x + -9) 5 + (-6 * 5 + x * 5) = 6 + -4(x + -9) 5 + (-30 + 5x) = 6 + -4(x + -9) Combine like terms: 5 + -30 = -25 -25 + 5x = 6 + -4(x + -9) Reorder the terms: -25 + 5x = 6 + -4(-9 + x) -25 + 5x = 6 + (-9 * -4 + x * -4) -25 + 5x = 6 + (36 + -4x) Combine like terms: 6 + 36 = 42 -25 + 5x = 42 + -4x Solving -25 + 5x = 42 + -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. -25 + 5x + 4x = 42 + -4x + 4x Combine like terms: 5x + 4x = 9x -25 + 9x = 42 + -4x + 4x Combine like terms: -4x + 4x = 0 -25 + 9x = 42 + 0 -25 + 9x = 42 Add '25' to each side of the equation. -25 + 25 + 9x = 42 + 25 Combine like terms: -25 + 25 = 0 0 + 9x = 42 + 25 9x = 42 + 25 Combine like terms: 42 + 25 = 67 9x = 67 Divide each side by '9'. x = 7.444444444 Simplifying x = 7.444444444
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