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Simplifying -1.45x + -0.2 + 0.05x + -0.2 = 0.36x + 7.9 + -0.76x + -0.3 Reorder the terms: -0.2 + -0.2 + -1.45x + 0.05x = 0.36x + 7.9 + -0.76x + -0.3 Combine like terms: -0.2 + -0.2 = -0.4 -0.4 + -1.45x + 0.05x = 0.36x + 7.9 + -0.76x + -0.3 Combine like terms: -1.45x + 0.05x = -1.4x -0.4 + -1.4x = 0.36x + 7.9 + -0.76x + -0.3 Reorder the terms: -0.4 + -1.4x = 7.9 + -0.3 + 0.36x + -0.76x Combine like terms: 7.9 + -0.3 = 7.6 -0.4 + -1.4x = 7.6 + 0.36x + -0.76x Combine like terms: 0.36x + -0.76x = -0.4x -0.4 + -1.4x = 7.6 + -0.4x Solving -0.4 + -1.4x = 7.6 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. -0.4 + -1.4x + 0.4x = 7.6 + -0.4x + 0.4x Combine like terms: -1.4x + 0.4x = -1x -0.4 + -1x = 7.6 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -0.4 + -1x = 7.6 + 0.0 -0.4 + -1x = 7.6 Add '0.4' to each side of the equation. -0.4 + 0.4 + -1x = 7.6 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -1x = 7.6 + 0.4 -1x = 7.6 + 0.4 Combine like terms: 7.6 + 0.4 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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