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Simplifying x + 1 = -0.4x + 5.2 Reorder the terms: 1 + x = -0.4x + 5.2 Reorder the terms: 1 + x = 5.2 + -0.4x Solving 1 + x = 5.2 + -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. 1 + x + 0.4x = 5.2 + -0.4x + 0.4x Combine like terms: x + 0.4x = 1.4x 1 + 1.4x = 5.2 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 1 + 1.4x = 5.2 + 0.0 1 + 1.4x = 5.2 Add '-1' to each side of the equation. 1 + -1 + 1.4x = 5.2 + -1 Combine like terms: 1 + -1 = 0 0 + 1.4x = 5.2 + -1 1.4x = 5.2 + -1 Combine like terms: 5.2 + -1 = 4.2 1.4x = 4.2 Divide each side by '1.4'. x = 3 Simplifying x = 3
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