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Simplifying 0.2x + 4 = x + 1 Reorder the terms: 4 + 0.2x = x + 1 Reorder the terms: 4 + 0.2x = 1 + x Solving 4 + 0.2x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + 0.2x + -1x = 1 + x + -1x Combine like terms: 0.2x + -1x = -0.8x 4 + -0.8x = 1 + x + -1x Combine like terms: x + -1x = 0 4 + -0.8x = 1 + 0 4 + -0.8x = 1 Add '-4' to each side of the equation. 4 + -4 + -0.8x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -0.8x = 1 + -4 -0.8x = 1 + -4 Combine like terms: 1 + -4 = -3 -0.8x = -3 Divide each side by '-0.8'. x = 3.75 Simplifying x = 3.75
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