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Simplifying 92 + -1(5x + 5) = 5(x + 2) + x Reorder the terms: 92 + -1(5 + 5x) = 5(x + 2) + x 92 + (5 * -1 + 5x * -1) = 5(x + 2) + x 92 + (-5 + -5x) = 5(x + 2) + x Combine like terms: 92 + -5 = 87 87 + -5x = 5(x + 2) + x Reorder the terms: 87 + -5x = 5(2 + x) + x 87 + -5x = (2 * 5 + x * 5) + x 87 + -5x = (10 + 5x) + x Combine like terms: 5x + x = 6x 87 + -5x = 10 + 6x Solving 87 + -5x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 87 + -5x + -6x = 10 + 6x + -6x Combine like terms: -5x + -6x = -11x 87 + -11x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 87 + -11x = 10 + 0 87 + -11x = 10 Add '-87' to each side of the equation. 87 + -87 + -11x = 10 + -87 Combine like terms: 87 + -87 = 0 0 + -11x = 10 + -87 -11x = 10 + -87 Combine like terms: 10 + -87 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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