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Simplifying 0.5x + -7 = 0.75x + -0.83 + -0.25 + -6.17 Reorder the terms: -7 + 0.5x = 0.75x + -0.83 + -0.25 + -6.17 Reorder the terms: -7 + 0.5x = -0.83 + -0.25 + -6.17 + 0.75x Combine like terms: -0.83 + -0.25 = -1.08 -7 + 0.5x = -1.08 + -6.17 + 0.75x Combine like terms: -1.08 + -6.17 = -7.25 -7 + 0.5x = -7.25 + 0.75x Solving -7 + 0.5x = -7.25 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. -7 + 0.5x + -0.75x = -7.25 + 0.75x + -0.75x Combine like terms: 0.5x + -0.75x = -0.25x -7 + -0.25x = -7.25 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -7 + -0.25x = -7.25 + 0.00 -7 + -0.25x = -7.25 Add '7' to each side of the equation. -7 + 7 + -0.25x = -7.25 + 7 Combine like terms: -7 + 7 = 0 0 + -0.25x = -7.25 + 7 -0.25x = -7.25 + 7 Combine like terms: -7.25 + 7 = -0.25 -0.25x = -0.25 Divide each side by '-0.25'. x = 1 Simplifying x = 1
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