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Simplifying 7.75x + 6 = 8x + -1 + 0.75x Reorder the terms: 6 + 7.75x = 8x + -1 + 0.75x Reorder the terms: 6 + 7.75x = -1 + 8x + 0.75x Combine like terms: 8x + 0.75x = 8.75x 6 + 7.75x = -1 + 8.75x Solving 6 + 7.75x = -1 + 8.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.75x' to each side of the equation. 6 + 7.75x + -8.75x = -1 + 8.75x + -8.75x Combine like terms: 7.75x + -8.75x = -1x 6 + -1x = -1 + 8.75x + -8.75x Combine like terms: 8.75x + -8.75x = 0.00 6 + -1x = -1 + 0.00 6 + -1x = -1 Add '-6' to each side of the equation. 6 + -6 + -1x = -1 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -1 + -6 -1x = -1 + -6 Combine like terms: -1 + -6 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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