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Simplifying 0.75(8 + x) = 2 + -1.25x (8 * 0.75 + x * 0.75) = 2 + -1.25x (6 + 0.75x) = 2 + -1.25x Solving 6 + 0.75x = 2 + -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. 6 + 0.75x + 1.25x = 2 + -1.25x + 1.25x Combine like terms: 0.75x + 1.25x = 2x 6 + 2x = 2 + -1.25x + 1.25x Combine like terms: -1.25x + 1.25x = 0.00 6 + 2x = 2 + 0.00 6 + 2x = 2 Add '-6' to each side of the equation. 6 + -6 + 2x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 2 + -6 2x = 2 + -6 Combine like terms: 2 + -6 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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