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Simplifying 0.17x + 6 = 2 + -0.4x Reorder the terms: 6 + 0.17x = 2 + -0.4x Solving 6 + 0.17x = 2 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 6 + 0.17x + 0.4x = 2 + -0.4x + 0.4x Combine like terms: 0.17x + 0.4x = 0.57x 6 + 0.57x = 2 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 6 + 0.57x = 2 + 0.0 6 + 0.57x = 2 Add '-6' to each side of the equation. 6 + -6 + 0.57x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 0.57x = 2 + -6 0.57x = 2 + -6 Combine like terms: 2 + -6 = -4 0.57x = -4 Divide each side by '0.57'. x = -7.01754386 Simplifying x = -7.01754386
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