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Simplifying 0.5(x + 4) = 4x + 1 Reorder the terms: 0.5(4 + x) = 4x + 1 (4 * 0.5 + x * 0.5) = 4x + 1 (2 + 0.5x) = 4x + 1 Reorder the terms: 2 + 0.5x = 1 + 4x Solving 2 + 0.5x = 1 + 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. 2 + 0.5x + -4x = 1 + 4x + -4x Combine like terms: 0.5x + -4x = -3.5x 2 + -3.5x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -3.5x = 1 + 0 2 + -3.5x = 1 Add '-2' to each side of the equation. 2 + -2 + -3.5x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -3.5x = 1 + -2 -3.5x = 1 + -2 Combine like terms: 1 + -2 = -1 -3.5x = -1 Divide each side by '-3.5'. x = 0.2857142857 Simplifying x = 0.2857142857
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