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Simplifying 93 + -1(5x + 8) = 5(x + 6) + x Reorder the terms: 93 + -1(8 + 5x) = 5(x + 6) + x 93 + (8 * -1 + 5x * -1) = 5(x + 6) + x 93 + (-8 + -5x) = 5(x + 6) + x Combine like terms: 93 + -8 = 85 85 + -5x = 5(x + 6) + x Reorder the terms: 85 + -5x = 5(6 + x) + x 85 + -5x = (6 * 5 + x * 5) + x 85 + -5x = (30 + 5x) + x Combine like terms: 5x + x = 6x 85 + -5x = 30 + 6x Solving 85 + -5x = 30 + 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. 85 + -5x + -6x = 30 + 6x + -6x Combine like terms: -5x + -6x = -11x 85 + -11x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 85 + -11x = 30 + 0 85 + -11x = 30 Add '-85' to each side of the equation. 85 + -85 + -11x = 30 + -85 Combine like terms: 85 + -85 = 0 0 + -11x = 30 + -85 -11x = 30 + -85 Combine like terms: 30 + -85 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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