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Simplifying 0.6x + 0.2 = 0.9x + -1.6 Reorder the terms: 0.2 + 0.6x = 0.9x + -1.6 Reorder the terms: 0.2 + 0.6x = -1.6 + 0.9x Solving 0.2 + 0.6x = -1.6 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 0.2 + 0.6x + -0.9x = -1.6 + 0.9x + -0.9x Combine like terms: 0.6x + -0.9x = -0.3x 0.2 + -0.3x = -1.6 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 0.2 + -0.3x = -1.6 + 0.0 0.2 + -0.3x = -1.6 Add '-0.2' to each side of the equation. 0.2 + -0.2 + -0.3x = -1.6 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.3x = -1.6 + -0.2 -0.3x = -1.6 + -0.2 Combine like terms: -1.6 + -0.2 = -1.8 -0.3x = -1.8 Divide each side by '-0.3'. x = 6 Simplifying x = 6
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