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Simplifying 0.4x + 10.4 = 2x + 1 Reorder the terms: 10.4 + 0.4x = 2x + 1 Reorder the terms: 10.4 + 0.4x = 1 + 2x Solving 10.4 + 0.4x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10.4 + 0.4x + -2x = 1 + 2x + -2x Combine like terms: 0.4x + -2x = -1.6x 10.4 + -1.6x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 10.4 + -1.6x = 1 + 0 10.4 + -1.6x = 1 Add '-10.4' to each side of the equation. 10.4 + -10.4 + -1.6x = 1 + -10.4 Combine like terms: 10.4 + -10.4 = 0.0 0.0 + -1.6x = 1 + -10.4 -1.6x = 1 + -10.4 Combine like terms: 1 + -10.4 = -9.4 -1.6x = -9.4 Divide each side by '-1.6'. x = 5.875 Simplifying x = 5.875
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