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Simplifying 0.4x + 0.5 = -3.7 + -1.7x Reorder the terms: 0.5 + 0.4x = -3.7 + -1.7x Solving 0.5 + 0.4x = -3.7 + -1.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.7x' to each side of the equation. 0.5 + 0.4x + 1.7x = -3.7 + -1.7x + 1.7x Combine like terms: 0.4x + 1.7x = 2.1x 0.5 + 2.1x = -3.7 + -1.7x + 1.7x Combine like terms: -1.7x + 1.7x = 0.0 0.5 + 2.1x = -3.7 + 0.0 0.5 + 2.1x = -3.7 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 2.1x = -3.7 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 2.1x = -3.7 + -0.5 2.1x = -3.7 + -0.5 Combine like terms: -3.7 + -0.5 = -4.2 2.1x = -4.2 Divide each side by '2.1'. x = -2 Simplifying x = -2
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