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Simplifying 4004 + 1 + x = 4020 + -4 + -1x + -2 + 1 Combine like terms: 4004 + 1 = 4005 4005 + x = 4020 + -4 + -1x + -2 + 1 Reorder the terms: 4005 + x = 4020 + -4 + -2 + 1 + -1x Combine like terms: 4020 + -4 = 4016 4005 + x = 4016 + -2 + 1 + -1x Combine like terms: 4016 + -2 = 4014 4005 + x = 4014 + 1 + -1x Combine like terms: 4014 + 1 = 4015 4005 + x = 4015 + -1x Solving 4005 + x = 4015 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4005 + x + x = 4015 + -1x + x Combine like terms: x + x = 2x 4005 + 2x = 4015 + -1x + x Combine like terms: -1x + x = 0 4005 + 2x = 4015 + 0 4005 + 2x = 4015 Add '-4005' to each side of the equation. 4005 + -4005 + 2x = 4015 + -4005 Combine like terms: 4005 + -4005 = 0 0 + 2x = 4015 + -4005 2x = 4015 + -4005 Combine like terms: 4015 + -4005 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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