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Simplifying 1.7x + 8 + -1.62x = 0.4x + -0.32 + 8 Reorder the terms: 8 + 1.7x + -1.62x = 0.4x + -0.32 + 8 Combine like terms: 1.7x + -1.62x = 0.08x 8 + 0.08x = 0.4x + -0.32 + 8 Reorder the terms: 8 + 0.08x = -0.32 + 8 + 0.4x Combine like terms: -0.32 + 8 = 7.68 8 + 0.08x = 7.68 + 0.4x Solving 8 + 0.08x = 7.68 + 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. 8 + 0.08x + -0.4x = 7.68 + 0.4x + -0.4x Combine like terms: 0.08x + -0.4x = -0.32x 8 + -0.32x = 7.68 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 8 + -0.32x = 7.68 + 0.0 8 + -0.32x = 7.68 Add '-8' to each side of the equation. 8 + -8 + -0.32x = 7.68 + -8 Combine like terms: 8 + -8 = 0 0 + -0.32x = 7.68 + -8 -0.32x = 7.68 + -8 Combine like terms: 7.68 + -8 = -0.32 -0.32x = -0.32 Divide each side by '-0.32'. x = 1 Simplifying x = 1
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