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Simplifying -8x + 1 = 7(-2x + 7) Reorder the terms: 1 + -8x = 7(-2x + 7) Reorder the terms: 1 + -8x = 7(7 + -2x) 1 + -8x = (7 * 7 + -2x * 7) 1 + -8x = (49 + -14x) Solving 1 + -8x = 49 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 1 + -8x + 14x = 49 + -14x + 14x Combine like terms: -8x + 14x = 6x 1 + 6x = 49 + -14x + 14x Combine like terms: -14x + 14x = 0 1 + 6x = 49 + 0 1 + 6x = 49 Add '-1' to each side of the equation. 1 + -1 + 6x = 49 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 49 + -1 6x = 49 + -1 Combine like terms: 49 + -1 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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