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Simplifying -283 = 4 + -7(7x + -8) Reorder the terms: -283 = 4 + -7(-8 + 7x) -283 = 4 + (-8 * -7 + 7x * -7) -283 = 4 + (56 + -49x) Combine like terms: 4 + 56 = 60 -283 = 60 + -49x Solving -283 = 60 + -49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49x' to each side of the equation. -283 + 49x = 60 + -49x + 49x Combine like terms: -49x + 49x = 0 -283 + 49x = 60 + 0 -283 + 49x = 60 Add '283' to each side of the equation. -283 + 283 + 49x = 60 + 283 Combine like terms: -283 + 283 = 0 0 + 49x = 60 + 283 49x = 60 + 283 Combine like terms: 60 + 283 = 343 49x = 343 Divide each side by '49'. x = 7 Simplifying x = 7
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