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Simplifying 0.4(2x + 4) = 0.3x + 6 Reorder the terms: 0.4(4 + 2x) = 0.3x + 6 (4 * 0.4 + 2x * 0.4) = 0.3x + 6 (1.6 + 0.8x) = 0.3x + 6 Reorder the terms: 1.6 + 0.8x = 6 + 0.3x Solving 1.6 + 0.8x = 6 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 1.6 + 0.8x + -0.3x = 6 + 0.3x + -0.3x Combine like terms: 0.8x + -0.3x = 0.5x 1.6 + 0.5x = 6 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 1.6 + 0.5x = 6 + 0.0 1.6 + 0.5x = 6 Add '-1.6' to each side of the equation. 1.6 + -1.6 + 0.5x = 6 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 0.5x = 6 + -1.6 0.5x = 6 + -1.6 Combine like terms: 6 + -1.6 = 4.4 0.5x = 4.4 Divide each side by '0.5'. x = 8.8 Simplifying x = 8.8
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