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Simplifying 5 + 5(x + -6) = 6 + -5(x + -5) Reorder the terms: 5 + 5(-6 + x) = 6 + -5(x + -5) 5 + (-6 * 5 + x * 5) = 6 + -5(x + -5) 5 + (-30 + 5x) = 6 + -5(x + -5) Combine like terms: 5 + -30 = -25 -25 + 5x = 6 + -5(x + -5) Reorder the terms: -25 + 5x = 6 + -5(-5 + x) -25 + 5x = 6 + (-5 * -5 + x * -5) -25 + 5x = 6 + (25 + -5x) Combine like terms: 6 + 25 = 31 -25 + 5x = 31 + -5x Solving -25 + 5x = 31 + -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. -25 + 5x + 5x = 31 + -5x + 5x Combine like terms: 5x + 5x = 10x -25 + 10x = 31 + -5x + 5x Combine like terms: -5x + 5x = 0 -25 + 10x = 31 + 0 -25 + 10x = 31 Add '25' to each side of the equation. -25 + 25 + 10x = 31 + 25 Combine like terms: -25 + 25 = 0 0 + 10x = 31 + 25 10x = 31 + 25 Combine like terms: 31 + 25 = 56 10x = 56 Divide each side by '10'. x = 5.6 Simplifying x = 5.6
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