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Simplifying 5.66x + 2 = 1.16x + -4 Reorder the terms: 2 + 5.66x = 1.16x + -4 Reorder the terms: 2 + 5.66x = -4 + 1.16x Solving 2 + 5.66x = -4 + 1.16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.16x' to each side of the equation. 2 + 5.66x + -1.16x = -4 + 1.16x + -1.16x Combine like terms: 5.66x + -1.16x = 4.5x 2 + 4.5x = -4 + 1.16x + -1.16x Combine like terms: 1.16x + -1.16x = 0.00 2 + 4.5x = -4 + 0.00 2 + 4.5x = -4 Add '-2' to each side of the equation. 2 + -2 + 4.5x = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 4.5x = -4 + -2 4.5x = -4 + -2 Combine like terms: -4 + -2 = -6 4.5x = -6 Divide each side by '4.5'. x = -1.333333333 Simplifying x = -1.333333333
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