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Simplifying 0.6(x + 0.1) = 2(0.4x + -0.2) Reorder the terms: 0.6(0.1 + x) = 2(0.4x + -0.2) (0.1 * 0.6 + x * 0.6) = 2(0.4x + -0.2) (0.06 + 0.6x) = 2(0.4x + -0.2) Reorder the terms: 0.06 + 0.6x = 2(-0.2 + 0.4x) 0.06 + 0.6x = (-0.2 * 2 + 0.4x * 2) 0.06 + 0.6x = (-0.4 + 0.8x) Solving 0.06 + 0.6x = -0.4 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 0.06 + 0.6x + -0.8x = -0.4 + 0.8x + -0.8x Combine like terms: 0.6x + -0.8x = -0.2x 0.06 + -0.2x = -0.4 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 0.06 + -0.2x = -0.4 + 0.0 0.06 + -0.2x = -0.4 Add '-0.06' to each side of the equation. 0.06 + -0.06 + -0.2x = -0.4 + -0.06 Combine like terms: 0.06 + -0.06 = 0.00 0.00 + -0.2x = -0.4 + -0.06 -0.2x = -0.4 + -0.06 Combine like terms: -0.4 + -0.06 = -0.46 -0.2x = -0.46 Divide each side by '-0.2'. x = 2.3 Simplifying x = 2.3
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