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Simplifying 0.5(6x + 7) + 0.5 = 0 Reorder the terms: 0.5(7 + 6x) + 0.5 = 0 (7 * 0.5 + 6x * 0.5) + 0.5 = 0 (3.5 + 3x) + 0.5 = 0 Reorder the terms: 3.5 + 0.5 + 3x = 0 Combine like terms: 3.5 + 0.5 = 4 4 + 3x = 0 Solving 4 + 3x = 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 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333
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