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Simplifying 0.2x + 4.51 = -0.4x + 5.31 Reorder the terms: 4.51 + 0.2x = -0.4x + 5.31 Reorder the terms: 4.51 + 0.2x = 5.31 + -0.4x Solving 4.51 + 0.2x = 5.31 + -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. 4.51 + 0.2x + 0.4x = 5.31 + -0.4x + 0.4x Combine like terms: 0.2x + 0.4x = 0.6x 4.51 + 0.6x = 5.31 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 4.51 + 0.6x = 5.31 + 0.0 4.51 + 0.6x = 5.31 Add '-4.51' to each side of the equation. 4.51 + -4.51 + 0.6x = 5.31 + -4.51 Combine like terms: 4.51 + -4.51 = 0.00 0.00 + 0.6x = 5.31 + -4.51 0.6x = 5.31 + -4.51 Combine like terms: 5.31 + -4.51 = 0.8 0.6x = 0.8 Divide each side by '0.6'. x = 1.333333333 Simplifying x = 1.333333333
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