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Simplifying 0.4(6x + 0.8) + 0.18 = 0.5 + 2.4 Reorder the terms: 0.4(0.8 + 6x) + 0.18 = 0.5 + 2.4 (0.8 * 0.4 + 6x * 0.4) + 0.18 = 0.5 + 2.4 (0.32 + 2.4x) + 0.18 = 0.5 + 2.4 Reorder the terms: 0.32 + 0.18 + 2.4x = 0.5 + 2.4 Combine like terms: 0.32 + 0.18 = 0.5 0.5 + 2.4x = 0.5 + 2.4 Combine like terms: 0.5 + 2.4 = 2.9 0.5 + 2.4x = 2.9 Solving 0.5 + 2.4x = 2.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 2.4x = 2.9 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 2.4x = 2.9 + -0.5 2.4x = 2.9 + -0.5 Combine like terms: 2.9 + -0.5 = 2.4 2.4x = 2.4 Divide each side by '2.4'. x = 1 Simplifying x = 1
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