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Simplifying 83 = -1 + 7(x + 8) Reorder the terms: 83 = -1 + 7(8 + x) 83 = -1 + (8 * 7 + x * 7) 83 = -1 + (56 + 7x) Combine like terms: -1 + 56 = 55 83 = 55 + 7x Solving 83 = 55 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 83 + -7x = 55 + 7x + -7x Combine like terms: 7x + -7x = 0 83 + -7x = 55 + 0 83 + -7x = 55 Add '-83' to each side of the equation. 83 + -83 + -7x = 55 + -83 Combine like terms: 83 + -83 = 0 0 + -7x = 55 + -83 -7x = 55 + -83 Combine like terms: 55 + -83 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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