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Simplifying 0.20X + -1(X + 0.25) = 0.05(X + 1) Reorder the terms: 0.20X + -1(0.25 + X) = 0.05(X + 1) 0.20X + (0.25 * -1 + X * -1) = 0.05(X + 1) 0.20X + (-0.25 + -1X) = 0.05(X + 1) Reorder the terms: -0.25 + 0.20X + -1X = 0.05(X + 1) Combine like terms: 0.20X + -1X = -0.8X -0.25 + -0.8X = 0.05(X + 1) Reorder the terms: -0.25 + -0.8X = 0.05(1 + X) -0.25 + -0.8X = (1 * 0.05 + X * 0.05) -0.25 + -0.8X = (0.05 + 0.05X) Solving -0.25 + -0.8X = 0.05 + 0.05X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.05X' to each side of the equation. -0.25 + -0.8X + -0.05X = 0.05 + 0.05X + -0.05X Combine like terms: -0.8X + -0.05X = -0.85X -0.25 + -0.85X = 0.05 + 0.05X + -0.05X Combine like terms: 0.05X + -0.05X = 0.00 -0.25 + -0.85X = 0.05 + 0.00 -0.25 + -0.85X = 0.05 Add '0.25' to each side of the equation. -0.25 + 0.25 + -0.85X = 0.05 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + -0.85X = 0.05 + 0.25 -0.85X = 0.05 + 0.25 Combine like terms: 0.05 + 0.25 = 0.3 -0.85X = 0.3 Divide each side by '-0.85'. X = -0.3529411765 Simplifying X = -0.3529411765
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