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Simplifying 0.5(8x + 7) + 0.5 = 0 Reorder the terms: 0.5(7 + 8x) + 0.5 = 0 (7 * 0.5 + 8x * 0.5) + 0.5 = 0 (3.5 + 4x) + 0.5 = 0 Reorder the terms: 3.5 + 0.5 + 4x = 0 Combine like terms: 3.5 + 0.5 = 4 4 + 4x = 0 Solving 4 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 0 + -4 4x = 0 + -4 Combine like terms: 0 + -4 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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