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Simplifying 0.5x + 30 = 4x + 2 Reorder the terms: 30 + 0.5x = 4x + 2 Reorder the terms: 30 + 0.5x = 2 + 4x Solving 30 + 0.5x = 2 + 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. 30 + 0.5x + -4x = 2 + 4x + -4x Combine like terms: 0.5x + -4x = -3.5x 30 + -3.5x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + -3.5x = 2 + 0 30 + -3.5x = 2 Add '-30' to each side of the equation. 30 + -30 + -3.5x = 2 + -30 Combine like terms: 30 + -30 = 0 0 + -3.5x = 2 + -30 -3.5x = 2 + -30 Combine like terms: 2 + -30 = -28 -3.5x = -28 Divide each side by '-3.5'. x = 8 Simplifying x = 8
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