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Simplifying -0.21(1 + -1x) = 2(4 + 0.1x) (1 * -0.21 + -1x * -0.21) = 2(4 + 0.1x) (-0.21 + 0.21x) = 2(4 + 0.1x) -0.21 + 0.21x = (4 * 2 + 0.1x * 2) -0.21 + 0.21x = (8 + 0.2x) Solving -0.21 + 0.21x = 8 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -0.21 + 0.21x + -0.2x = 8 + 0.2x + -0.2x Combine like terms: 0.21x + -0.2x = 0.01x -0.21 + 0.01x = 8 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.21 + 0.01x = 8 + 0.0 -0.21 + 0.01x = 8 Add '0.21' to each side of the equation. -0.21 + 0.21 + 0.01x = 8 + 0.21 Combine like terms: -0.21 + 0.21 = 0.00 0.00 + 0.01x = 8 + 0.21 0.01x = 8 + 0.21 Combine like terms: 8 + 0.21 = 8.21 0.01x = 8.21 Divide each side by '0.01'. x = 821 Simplifying x = 821
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