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Simplifying x + x + 0.6 = 2x + 2x + x + 0.1 Reorder the terms: 0.6 + x + x = 2x + 2x + x + 0.1 Combine like terms: x + x = 2x 0.6 + 2x = 2x + 2x + x + 0.1 Reorder the terms: 0.6 + 2x = 0.1 + 2x + 2x + x Combine like terms: 2x + 2x = 4x 0.6 + 2x = 0.1 + 4x + x Combine like terms: 4x + x = 5x 0.6 + 2x = 0.1 + 5x Solving 0.6 + 2x = 0.1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 0.6 + 2x + -5x = 0.1 + 5x + -5x Combine like terms: 2x + -5x = -3x 0.6 + -3x = 0.1 + 5x + -5x Combine like terms: 5x + -5x = 0 0.6 + -3x = 0.1 + 0 0.6 + -3x = 0.1 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -3x = 0.1 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -3x = 0.1 + -0.6 -3x = 0.1 + -0.6 Combine like terms: 0.1 + -0.6 = -0.5 -3x = -0.5 Divide each side by '-3'. x = 0.1666666667 Simplifying x = 0.1666666667
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