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Simplifying x + 45 = -2x + 1282 Reorder the terms: 45 + x = -2x + 1282 Reorder the terms: 45 + x = 1282 + -2x Solving 45 + x = 1282 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 45 + x + 2x = 1282 + -2x + 2x Combine like terms: x + 2x = 3x 45 + 3x = 1282 + -2x + 2x Combine like terms: -2x + 2x = 0 45 + 3x = 1282 + 0 45 + 3x = 1282 Add '-45' to each side of the equation. 45 + -45 + 3x = 1282 + -45 Combine like terms: 45 + -45 = 0 0 + 3x = 1282 + -45 3x = 1282 + -45 Combine like terms: 1282 + -45 = 1237 3x = 1237 Divide each side by '3'. x = 412.3333333 Simplifying x = 412.3333333
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