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Simplifying 0.3x + 0.1 = 0.27x + -0.02 Reorder the terms: 0.1 + 0.3x = 0.27x + -0.02 Reorder the terms: 0.1 + 0.3x = -0.02 + 0.27x Solving 0.1 + 0.3x = -0.02 + 0.27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.27x' to each side of the equation. 0.1 + 0.3x + -0.27x = -0.02 + 0.27x + -0.27x Combine like terms: 0.3x + -0.27x = 0.03x 0.1 + 0.03x = -0.02 + 0.27x + -0.27x Combine like terms: 0.27x + -0.27x = 0.00 0.1 + 0.03x = -0.02 + 0.00 0.1 + 0.03x = -0.02 Add '-0.1' to each side of the equation. 0.1 + -0.1 + 0.03x = -0.02 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.03x = -0.02 + -0.1 0.03x = -0.02 + -0.1 Combine like terms: -0.02 + -0.1 = -0.12 0.03x = -0.12 Divide each side by '0.03'. x = -4 Simplifying x = -4
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