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Simplifying 2x + 1 = 0.4(x + 1) Reorder the terms: 1 + 2x = 0.4(x + 1) Reorder the terms: 1 + 2x = 0.4(1 + x) 1 + 2x = (1 * 0.4 + x * 0.4) 1 + 2x = (0.4 + 0.4x) Solving 1 + 2x = 0.4 + 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 + 2x + -0.4x = 0.4 + 0.4x + -0.4x Combine like terms: 2x + -0.4x = 1.6x 1 + 1.6x = 0.4 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 1 + 1.6x = 0.4 + 0.0 1 + 1.6x = 0.4 Add '-1' to each side of the equation. 1 + -1 + 1.6x = 0.4 + -1 Combine like terms: 1 + -1 = 0 0 + 1.6x = 0.4 + -1 1.6x = 0.4 + -1 Combine like terms: 0.4 + -1 = -0.6 1.6x = -0.6 Divide each side by '1.6'. x = -0.375 Simplifying x = -0.375
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