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Simplifying 0.06 + -0.01(x + 1) = -0.2(2 + -1x) Reorder the terms: 0.06 + -0.01(1 + x) = -0.2(2 + -1x) 0.06 + (1 * -0.01 + x * -0.01) = -0.2(2 + -1x) 0.06 + (-0.01 + -0.01x) = -0.2(2 + -1x) Combine like terms: 0.06 + -0.01 = 0.05 0.05 + -0.01x = -0.2(2 + -1x) 0.05 + -0.01x = (2 * -0.2 + -1x * -0.2) 0.05 + -0.01x = (-0.4 + 0.2x) Solving 0.05 + -0.01x = -0.4 + 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. 0.05 + -0.01x + -0.2x = -0.4 + 0.2x + -0.2x Combine like terms: -0.01x + -0.2x = -0.21x 0.05 + -0.21x = -0.4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.05 + -0.21x = -0.4 + 0.0 0.05 + -0.21x = -0.4 Add '-0.05' to each side of the equation. 0.05 + -0.05 + -0.21x = -0.4 + -0.05 Combine like terms: 0.05 + -0.05 = 0.00 0.00 + -0.21x = -0.4 + -0.05 -0.21x = -0.4 + -0.05 Combine like terms: -0.4 + -0.05 = -0.45 -0.21x = -0.45 Divide each side by '-0.21'. x = 2.142857143 Simplifying x = 2.142857143
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