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Simplifying 0.5x + 1 = 66.66x + -2 Reorder the terms: 1 + 0.5x = 66.66x + -2 Reorder the terms: 1 + 0.5x = -2 + 66.66x Solving 1 + 0.5x = -2 + 66.66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-66.66x' to each side of the equation. 1 + 0.5x + -66.66x = -2 + 66.66x + -66.66x Combine like terms: 0.5x + -66.66x = -66.16x 1 + -66.16x = -2 + 66.66x + -66.66x Combine like terms: 66.66x + -66.66x = 0.00 1 + -66.16x = -2 + 0.00 1 + -66.16x = -2 Add '-1' to each side of the equation. 1 + -1 + -66.16x = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -66.16x = -2 + -1 -66.16x = -2 + -1 Combine like terms: -2 + -1 = -3 -66.16x = -3 Divide each side by '-66.16'. x = 0.04534461911 Simplifying x = 0.04534461911
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