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Simplifying 0.4(14 + x) = 4x + 3.8 (14 * 0.4 + x * 0.4) = 4x + 3.8 (5.6 + 0.4x) = 4x + 3.8 Reorder the terms: 5.6 + 0.4x = 3.8 + 4x Solving 5.6 + 0.4x = 3.8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5.6 + 0.4x + -4x = 3.8 + 4x + -4x Combine like terms: 0.4x + -4x = -3.6x 5.6 + -3.6x = 3.8 + 4x + -4x Combine like terms: 4x + -4x = 0 5.6 + -3.6x = 3.8 + 0 5.6 + -3.6x = 3.8 Add '-5.6' to each side of the equation. 5.6 + -5.6 + -3.6x = 3.8 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + -3.6x = 3.8 + -5.6 -3.6x = 3.8 + -5.6 Combine like terms: 3.8 + -5.6 = -1.8 -3.6x = -1.8 Divide each side by '-3.6'. x = 0.5 Simplifying x = 0.5
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