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Simplifying 0.6(0.3 + 0.4) + 0.2 = x + 0.24 + 0.2 Combine like terms: 0.3 + 0.4 = 0.7 0.6(0.7) + 0.2 = x + 0.24 + 0.2 Multiply 0.6 * 0.7 0.42 + 0.2 = x + 0.24 + 0.2 Combine like terms: 0.42 + 0.2 = 0.62 0.62 = x + 0.24 + 0.2 Reorder the terms: 0.62 = 0.24 + 0.2 + x Combine like terms: 0.24 + 0.2 = 0.44 0.62 = 0.44 + x Solving 0.62 = 0.44 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0.62 + -1x = 0.44 + x + -1x Combine like terms: x + -1x = 0 0.62 + -1x = 0.44 + 0 0.62 + -1x = 0.44 Add '-0.62' to each side of the equation. 0.62 + -0.62 + -1x = 0.44 + -0.62 Combine like terms: 0.62 + -0.62 = 0.00 0.00 + -1x = 0.44 + -0.62 -1x = 0.44 + -0.62 Combine like terms: 0.44 + -0.62 = -0.18 -1x = -0.18 Divide each side by '-1'. x = 0.18 Simplifying x = 0.18
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