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Simplifying 5 + -1x + 409 = x + -3(5 + x) + 32 Reorder the terms: 5 + 409 + -1x = x + -3(5 + x) + 32 Combine like terms: 5 + 409 = 414 414 + -1x = x + -3(5 + x) + 32 414 + -1x = x + (5 * -3 + x * -3) + 32 414 + -1x = x + (-15 + -3x) + 32 Reorder the terms: 414 + -1x = -15 + 32 + x + -3x Combine like terms: -15 + 32 = 17 414 + -1x = 17 + x + -3x Combine like terms: x + -3x = -2x 414 + -1x = 17 + -2x Solving 414 + -1x = 17 + -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. 414 + -1x + 2x = 17 + -2x + 2x Combine like terms: -1x + 2x = 1x 414 + 1x = 17 + -2x + 2x Combine like terms: -2x + 2x = 0 414 + 1x = 17 + 0 414 + 1x = 17 Add '-414' to each side of the equation. 414 + -414 + 1x = 17 + -414 Combine like terms: 414 + -414 = 0 0 + 1x = 17 + -414 1x = 17 + -414 Combine like terms: 17 + -414 = -397 1x = -397 Divide each side by '1'. x = -397 Simplifying x = -397
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