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Simplifying 101 + -1(5x + 6) = 5(x + 8) + x Reorder the terms: 101 + -1(6 + 5x) = 5(x + 8) + x 101 + (6 * -1 + 5x * -1) = 5(x + 8) + x 101 + (-6 + -5x) = 5(x + 8) + x Combine like terms: 101 + -6 = 95 95 + -5x = 5(x + 8) + x Reorder the terms: 95 + -5x = 5(8 + x) + x 95 + -5x = (8 * 5 + x * 5) + x 95 + -5x = (40 + 5x) + x Combine like terms: 5x + x = 6x 95 + -5x = 40 + 6x Solving 95 + -5x = 40 + 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. 95 + -5x + -6x = 40 + 6x + -6x Combine like terms: -5x + -6x = -11x 95 + -11x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 95 + -11x = 40 + 0 95 + -11x = 40 Add '-95' to each side of the equation. 95 + -95 + -11x = 40 + -95 Combine like terms: 95 + -95 = 0 0 + -11x = 40 + -95 -11x = 40 + -95 Combine like terms: 40 + -95 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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