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Simplifying 0.06 + -0.01(x + 1) = -0.02(2x) Reorder the terms: 0.06 + -0.01(1 + x) = -0.02(2x) 0.06 + (1 * -0.01 + x * -0.01) = -0.02(2x) 0.06 + (-0.01 + -0.01x) = -0.02(2x) Combine like terms: 0.06 + -0.01 = 0.05 0.05 + -0.01x = -0.02(2x) Remove parenthesis around (2x) 0.05 + -0.01x = -0.02 * 2x Multiply -0.02 * 2 0.05 + -0.01x = -0.04x Solving 0.05 + -0.01x = -0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.04x' to each side of the equation. 0.05 + -0.01x + 0.04x = -0.04x + 0.04x Combine like terms: -0.01x + 0.04x = 0.03x 0.05 + 0.03x = -0.04x + 0.04x Combine like terms: -0.04x + 0.04x = 0.00 0.05 + 0.03x = 0.00 Add '-0.05' to each side of the equation. 0.05 + -0.05 + 0.03x = 0.00 + -0.05 Combine like terms: 0.05 + -0.05 = 0.00 0.00 + 0.03x = 0.00 + -0.05 0.03x = 0.00 + -0.05 Combine like terms: 0.00 + -0.05 = -0.05 0.03x = -0.05 Divide each side by '0.03'. x = -1.666666667 Simplifying x = -1.666666667
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