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Simplifying 108 + -1(5x + 8) = 5(x + 9) + x Reorder the terms: 108 + -1(8 + 5x) = 5(x + 9) + x 108 + (8 * -1 + 5x * -1) = 5(x + 9) + x 108 + (-8 + -5x) = 5(x + 9) + x Combine like terms: 108 + -8 = 100 100 + -5x = 5(x + 9) + x Reorder the terms: 100 + -5x = 5(9 + x) + x 100 + -5x = (9 * 5 + x * 5) + x 100 + -5x = (45 + 5x) + x Combine like terms: 5x + x = 6x 100 + -5x = 45 + 6x Solving 100 + -5x = 45 + 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. 100 + -5x + -6x = 45 + 6x + -6x Combine like terms: -5x + -6x = -11x 100 + -11x = 45 + 6x + -6x Combine like terms: 6x + -6x = 0 100 + -11x = 45 + 0 100 + -11x = 45 Add '-100' to each side of the equation. 100 + -100 + -11x = 45 + -100 Combine like terms: 100 + -100 = 0 0 + -11x = 45 + -100 -11x = 45 + -100 Combine like terms: 45 + -100 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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