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Simplifying 0.75x + -2 = 6x + -2 Reorder the terms: -2 + 0.75x = 6x + -2 Reorder the terms: -2 + 0.75x = -2 + 6x Add '2' to each side of the equation. -2 + 2 + 0.75x = -2 + 2 + 6x Combine like terms: -2 + 2 = 0 0 + 0.75x = -2 + 2 + 6x 0.75x = -2 + 2 + 6x Combine like terms: -2 + 2 = 0 0.75x = 0 + 6x 0.75x = 6x Solving 0.75x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 0.75x + -6x = 6x + -6x Combine like terms: 0.75x + -6x = -5.25x -5.25x = 6x + -6x Combine like terms: 6x + -6x = 0 -5.25x = 0 Divide each side by '-5.25'. x = 0 Simplifying x = 0
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