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Simplifying 0.5(4x + 13) + 0.5 = 0 Reorder the terms: 0.5(13 + 4x) + 0.5 = 0 (13 * 0.5 + 4x * 0.5) + 0.5 = 0 (6.5 + 2x) + 0.5 = 0 Reorder the terms: 6.5 + 0.5 + 2x = 0 Combine like terms: 6.5 + 0.5 = 7 7 + 2x = 0 Solving 7 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5
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