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Simplifying 408 = 3x + -8(7x + 2) Reorder the terms: 408 = 3x + -8(2 + 7x) 408 = 3x + (2 * -8 + 7x * -8) 408 = 3x + (-16 + -56x) Reorder the terms: 408 = -16 + 3x + -56x Combine like terms: 3x + -56x = -53x 408 = -16 + -53x Solving 408 = -16 + -53x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '53x' to each side of the equation. 408 + 53x = -16 + -53x + 53x Combine like terms: -53x + 53x = 0 408 + 53x = -16 + 0 408 + 53x = -16 Add '-408' to each side of the equation. 408 + -408 + 53x = -16 + -408 Combine like terms: 408 + -408 = 0 0 + 53x = -16 + -408 53x = -16 + -408 Combine like terms: -16 + -408 = -424 53x = -424 Divide each side by '53'. x = -8 Simplifying x = -8
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