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Simplifying 8(1 + -1x) = 4(1 + 2x) + 6 (1 * 8 + -1x * 8) = 4(1 + 2x) + 6 (8 + -8x) = 4(1 + 2x) + 6 8 + -8x = (1 * 4 + 2x * 4) + 6 8 + -8x = (4 + 8x) + 6 Reorder the terms: 8 + -8x = 4 + 6 + 8x Combine like terms: 4 + 6 = 10 8 + -8x = 10 + 8x Solving 8 + -8x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 8 + -8x + -8x = 10 + 8x + -8x Combine like terms: -8x + -8x = -16x 8 + -16x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -16x = 10 + 0 8 + -16x = 10 Add '-8' to each side of the equation. 8 + -8 + -16x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -16x = 10 + -8 -16x = 10 + -8 Combine like terms: 10 + -8 = 2 -16x = 2 Divide each side by '-16'. x = -0.125 Simplifying x = -0.125
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