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Simplifying 0.5(x + 3) = 4x + 1 Reorder the terms: 0.5(3 + x) = 4x + 1 (3 * 0.5 + x * 0.5) = 4x + 1 (1.5 + 0.5x) = 4x + 1 Reorder the terms: 1.5 + 0.5x = 1 + 4x Solving 1.5 + 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. 1.5 + 0.5x + -4x = 1 + 4x + -4x Combine like terms: 0.5x + -4x = -3.5x 1.5 + -3.5x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 1.5 + -3.5x = 1 + 0 1.5 + -3.5x = 1 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -3.5x = 1 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -3.5x = 1 + -1.5 -3.5x = 1 + -1.5 Combine like terms: 1 + -1.5 = -0.5 -3.5x = -0.5 Divide each side by '-3.5'. x = 0.1428571429 Simplifying x = 0.1428571429
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