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Simplifying 8(1 + -1x) = 7(1 + 2x) + 7 (1 * 8 + -1x * 8) = 7(1 + 2x) + 7 (8 + -8x) = 7(1 + 2x) + 7 8 + -8x = (1 * 7 + 2x * 7) + 7 8 + -8x = (7 + 14x) + 7 Reorder the terms: 8 + -8x = 7 + 7 + 14x Combine like terms: 7 + 7 = 14 8 + -8x = 14 + 14x Solving 8 + -8x = 14 + 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. 8 + -8x + -14x = 14 + 14x + -14x Combine like terms: -8x + -14x = -22x 8 + -22x = 14 + 14x + -14x Combine like terms: 14x + -14x = 0 8 + -22x = 14 + 0 8 + -22x = 14 Add '-8' to each side of the equation. 8 + -8 + -22x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -22x = 14 + -8 -22x = 14 + -8 Combine like terms: 14 + -8 = 6 -22x = 6 Divide each side by '-22'. x = -0.2727272727 Simplifying x = -0.2727272727
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