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Simplifying 0.05x + -1.82 = 0.708x + -0.504 Reorder the terms: -1.82 + 0.05x = 0.708x + -0.504 Reorder the terms: -1.82 + 0.05x = -0.504 + 0.708x Solving -1.82 + 0.05x = -0.504 + 0.708x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.708x' to each side of the equation. -1.82 + 0.05x + -0.708x = -0.504 + 0.708x + -0.708x Combine like terms: 0.05x + -0.708x = -0.658x -1.82 + -0.658x = -0.504 + 0.708x + -0.708x Combine like terms: 0.708x + -0.708x = 0.000 -1.82 + -0.658x = -0.504 + 0.000 -1.82 + -0.658x = -0.504 Add '1.82' to each side of the equation. -1.82 + 1.82 + -0.658x = -0.504 + 1.82 Combine like terms: -1.82 + 1.82 = 0.00 0.00 + -0.658x = -0.504 + 1.82 -0.658x = -0.504 + 1.82 Combine like terms: -0.504 + 1.82 = 1.316 -0.658x = 1.316 Divide each side by '-0.658'. x = -2 Simplifying x = -2
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