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Simplifying 7 + 5(x + -6) = 11 + -5(x + -5) Reorder the terms: 7 + 5(-6 + x) = 11 + -5(x + -5) 7 + (-6 * 5 + x * 5) = 11 + -5(x + -5) 7 + (-30 + 5x) = 11 + -5(x + -5) Combine like terms: 7 + -30 = -23 -23 + 5x = 11 + -5(x + -5) Reorder the terms: -23 + 5x = 11 + -5(-5 + x) -23 + 5x = 11 + (-5 * -5 + x * -5) -23 + 5x = 11 + (25 + -5x) Combine like terms: 11 + 25 = 36 -23 + 5x = 36 + -5x Solving -23 + 5x = 36 + -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. -23 + 5x + 5x = 36 + -5x + 5x Combine like terms: 5x + 5x = 10x -23 + 10x = 36 + -5x + 5x Combine like terms: -5x + 5x = 0 -23 + 10x = 36 + 0 -23 + 10x = 36 Add '23' to each side of the equation. -23 + 23 + 10x = 36 + 23 Combine like terms: -23 + 23 = 0 0 + 10x = 36 + 23 10x = 36 + 23 Combine like terms: 36 + 23 = 59 10x = 59 Divide each side by '10'. x = 5.9 Simplifying x = 5.9
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