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Simplifying 0.675x + 2.5 = 0.375x + 1.5 + 0.25x Reorder the terms: 2.5 + 0.675x = 0.375x + 1.5 + 0.25x Reorder the terms: 2.5 + 0.675x = 1.5 + 0.375x + 0.25x Combine like terms: 0.375x + 0.25x = 0.625x 2.5 + 0.675x = 1.5 + 0.625x Solving 2.5 + 0.675x = 1.5 + 0.625x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.625x' to each side of the equation. 2.5 + 0.675x + -0.625x = 1.5 + 0.625x + -0.625x Combine like terms: 0.675x + -0.625x = 0.05x 2.5 + 0.05x = 1.5 + 0.625x + -0.625x Combine like terms: 0.625x + -0.625x = 0.000 2.5 + 0.05x = 1.5 + 0.000 2.5 + 0.05x = 1.5 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 0.05x = 1.5 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 0.05x = 1.5 + -2.5 0.05x = 1.5 + -2.5 Combine like terms: 1.5 + -2.5 = -1 0.05x = -1 Divide each side by '0.05'. x = -20 Simplifying x = -20
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