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Simplifying 0.2(x + 5) = x + 5 Reorder the terms: 0.2(5 + x) = x + 5 (5 * 0.2 + x * 0.2) = x + 5 (1 + 0.2x) = x + 5 Reorder the terms: 1 + 0.2x = 5 + x Solving 1 + 0.2x = 5 + 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. 1 + 0.2x + -1x = 5 + x + -1x Combine like terms: 0.2x + -1x = -0.8x 1 + -0.8x = 5 + x + -1x Combine like terms: x + -1x = 0 1 + -0.8x = 5 + 0 1 + -0.8x = 5 Add '-1' to each side of the equation. 1 + -1 + -0.8x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -0.8x = 5 + -1 -0.8x = 5 + -1 Combine like terms: 5 + -1 = 4 -0.8x = 4 Divide each side by '-0.8'. x = -5 Simplifying x = -5
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