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Simplifying 0.25(x + 2) = 0.16(5 + -1x) Reorder the terms: 0.25(2 + x) = 0.16(5 + -1x) (2 * 0.25 + x * 0.25) = 0.16(5 + -1x) (0.5 + 0.25x) = 0.16(5 + -1x) 0.5 + 0.25x = (5 * 0.16 + -1x * 0.16) 0.5 + 0.25x = (0.8 + -0.16x) Solving 0.5 + 0.25x = 0.8 + -0.16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.16x' to each side of the equation. 0.5 + 0.25x + 0.16x = 0.8 + -0.16x + 0.16x Combine like terms: 0.25x + 0.16x = 0.41x 0.5 + 0.41x = 0.8 + -0.16x + 0.16x Combine like terms: -0.16x + 0.16x = 0.00 0.5 + 0.41x = 0.8 + 0.00 0.5 + 0.41x = 0.8 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.41x = 0.8 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.41x = 0.8 + -0.5 0.41x = 0.8 + -0.5 Combine like terms: 0.8 + -0.5 = 0.3 0.41x = 0.3 Divide each side by '0.41'. x = 0.7317073171 Simplifying x = 0.7317073171
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