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Simplifying 0.2x + -0.1 = 0.6x + -2.1 Reorder the terms: -0.1 + 0.2x = 0.6x + -2.1 Reorder the terms: -0.1 + 0.2x = -2.1 + 0.6x Solving -0.1 + 0.2x = -2.1 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. -0.1 + 0.2x + -0.6x = -2.1 + 0.6x + -0.6x Combine like terms: 0.2x + -0.6x = -0.4x -0.1 + -0.4x = -2.1 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -0.1 + -0.4x = -2.1 + 0.0 -0.1 + -0.4x = -2.1 Add '0.1' to each side of the equation. -0.1 + 0.1 + -0.4x = -2.1 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + -0.4x = -2.1 + 0.1 -0.4x = -2.1 + 0.1 Combine like terms: -2.1 + 0.1 = -2 -0.4x = -2 Divide each side by '-0.4'. x = 5 Simplifying x = 5
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