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Simplifying 0.5(x + 4) = 0.2x + 14 Reorder the terms: 0.5(4 + x) = 0.2x + 14 (4 * 0.5 + x * 0.5) = 0.2x + 14 (2 + 0.5x) = 0.2x + 14 Reorder the terms: 2 + 0.5x = 14 + 0.2x Solving 2 + 0.5x = 14 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 2 + 0.5x + -0.2x = 14 + 0.2x + -0.2x Combine like terms: 0.5x + -0.2x = 0.3x 2 + 0.3x = 14 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 2 + 0.3x = 14 + 0.0 2 + 0.3x = 14 Add '-2' to each side of the equation. 2 + -2 + 0.3x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 0.3x = 14 + -2 0.3x = 14 + -2 Combine like terms: 14 + -2 = 12 0.3x = 12 Divide each side by '0.3'. x = 40 Simplifying x = 40
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