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Simplifying 0.42x + 0.2 = 0.66x + -1 Reorder the terms: 0.2 + 0.42x = 0.66x + -1 Reorder the terms: 0.2 + 0.42x = -1 + 0.66x Solving 0.2 + 0.42x = -1 + 0.66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.66x' to each side of the equation. 0.2 + 0.42x + -0.66x = -1 + 0.66x + -0.66x Combine like terms: 0.42x + -0.66x = -0.24x 0.2 + -0.24x = -1 + 0.66x + -0.66x Combine like terms: 0.66x + -0.66x = 0.00 0.2 + -0.24x = -1 + 0.00 0.2 + -0.24x = -1 Add '-0.2' to each side of the equation. 0.2 + -0.2 + -0.24x = -1 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.24x = -1 + -0.2 -0.24x = -1 + -0.2 Combine like terms: -1 + -0.2 = -1.2 -0.24x = -1.2 Divide each side by '-0.24'. x = 5 Simplifying x = 5
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