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Simplifying -364 = 3x + 7(1 + -8x) -364 = 3x + (1 * 7 + -8x * 7) -364 = 3x + (7 + -56x) Reorder the terms: -364 = 7 + 3x + -56x Combine like terms: 3x + -56x = -53x -364 = 7 + -53x Solving -364 = 7 + -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. -364 + 53x = 7 + -53x + 53x Combine like terms: -53x + 53x = 0 -364 + 53x = 7 + 0 -364 + 53x = 7 Add '364' to each side of the equation. -364 + 364 + 53x = 7 + 364 Combine like terms: -364 + 364 = 0 0 + 53x = 7 + 364 53x = 7 + 364 Combine like terms: 7 + 364 = 371 53x = 371 Divide each side by '53'. x = 7 Simplifying x = 7
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