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Simplifying -83 = 1 + -7(x + 4) Reorder the terms: -83 = 1 + -7(4 + x) -83 = 1 + (4 * -7 + x * -7) -83 = 1 + (-28 + -7x) Combine like terms: 1 + -28 = -27 -83 = -27 + -7x Solving -83 = -27 + -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 = -27 + -7x + 7x Combine like terms: -7x + 7x = 0 -83 + 7x = -27 + 0 -83 + 7x = -27 Add '83' to each side of the equation. -83 + 83 + 7x = -27 + 83 Combine like terms: -83 + 83 = 0 0 + 7x = -27 + 83 7x = -27 + 83 Combine like terms: -27 + 83 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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