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Simplifying 0.23 + -0.01(x + 2) = 0.04(1 + -1x) Reorder the terms: 0.23 + -0.01(2 + x) = 0.04(1 + -1x) 0.23 + (2 * -0.01 + x * -0.01) = 0.04(1 + -1x) 0.23 + (-0.02 + -0.01x) = 0.04(1 + -1x) Combine like terms: 0.23 + -0.02 = 0.21 0.21 + -0.01x = 0.04(1 + -1x) 0.21 + -0.01x = (1 * 0.04 + -1x * 0.04) 0.21 + -0.01x = (0.04 + -0.04x) Solving 0.21 + -0.01x = 0.04 + -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. 0.21 + -0.01x + 0.04x = 0.04 + -0.04x + 0.04x Combine like terms: -0.01x + 0.04x = 0.03x 0.21 + 0.03x = 0.04 + -0.04x + 0.04x Combine like terms: -0.04x + 0.04x = 0.00 0.21 + 0.03x = 0.04 + 0.00 0.21 + 0.03x = 0.04 Add '-0.21' to each side of the equation. 0.21 + -0.21 + 0.03x = 0.04 + -0.21 Combine like terms: 0.21 + -0.21 = 0.00 0.00 + 0.03x = 0.04 + -0.21 0.03x = 0.04 + -0.21 Combine like terms: 0.04 + -0.21 = -0.17 0.03x = -0.17 Divide each side by '0.03'. x = -5.666666667 Simplifying x = -5.666666667
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