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Simplifying 1.2x + -4.6 = 0.4x + 1.64 Reorder the terms: -4.6 + 1.2x = 0.4x + 1.64 Reorder the terms: -4.6 + 1.2x = 1.64 + 0.4x Solving -4.6 + 1.2x = 1.64 + 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. -4.6 + 1.2x + -0.4x = 1.64 + 0.4x + -0.4x Combine like terms: 1.2x + -0.4x = 0.8x -4.6 + 0.8x = 1.64 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -4.6 + 0.8x = 1.64 + 0.0 -4.6 + 0.8x = 1.64 Add '4.6' to each side of the equation. -4.6 + 4.6 + 0.8x = 1.64 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 0.8x = 1.64 + 4.6 0.8x = 1.64 + 4.6 Combine like terms: 1.64 + 4.6 = 6.24 0.8x = 6.24 Divide each side by '0.8'. x = 7.8 Simplifying x = 7.8
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