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Simplifying 0.75x + 2 = 1.25x + -6 Reorder the terms: 2 + 0.75x = 1.25x + -6 Reorder the terms: 2 + 0.75x = -6 + 1.25x Solving 2 + 0.75x = -6 + 1.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25x' to each side of the equation. 2 + 0.75x + -1.25x = -6 + 1.25x + -1.25x Combine like terms: 0.75x + -1.25x = -0.5x 2 + -0.5x = -6 + 1.25x + -1.25x Combine like terms: 1.25x + -1.25x = 0.00 2 + -0.5x = -6 + 0.00 2 + -0.5x = -6 Add '-2' to each side of the equation. 2 + -2 + -0.5x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -0.5x = -6 + -2 -0.5x = -6 + -2 Combine like terms: -6 + -2 = -8 -0.5x = -8 Divide each side by '-0.5'. x = 16 Simplifying x = 16
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