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Simplifying 83 = -1 + 6(x + 8) Reorder the terms: 83 = -1 + 6(8 + x) 83 = -1 + (8 * 6 + x * 6) 83 = -1 + (48 + 6x) Combine like terms: -1 + 48 = 47 83 = 47 + 6x Solving 83 = 47 + 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. 83 + -6x = 47 + 6x + -6x Combine like terms: 6x + -6x = 0 83 + -6x = 47 + 0 83 + -6x = 47 Add '-83' to each side of the equation. 83 + -83 + -6x = 47 + -83 Combine like terms: 83 + -83 = 0 0 + -6x = 47 + -83 -6x = 47 + -83 Combine like terms: 47 + -83 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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