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Simplifying 0.5x + 4 = 6.66x + -5 Reorder the terms: 4 + 0.5x = 6.66x + -5 Reorder the terms: 4 + 0.5x = -5 + 6.66x Solving 4 + 0.5x = -5 + 6.66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.66x' to each side of the equation. 4 + 0.5x + -6.66x = -5 + 6.66x + -6.66x Combine like terms: 0.5x + -6.66x = -6.16x 4 + -6.16x = -5 + 6.66x + -6.66x Combine like terms: 6.66x + -6.66x = 0.00 4 + -6.16x = -5 + 0.00 4 + -6.16x = -5 Add '-4' to each side of the equation. 4 + -4 + -6.16x = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -6.16x = -5 + -4 -6.16x = -5 + -4 Combine like terms: -5 + -4 = -9 -6.16x = -9 Divide each side by '-6.16'. x = 1.461038961 Simplifying x = 1.461038961
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