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Simplifying 0.1 + -0.01(x + -2) = 0.02(2 + -1x) Reorder the terms: 0.1 + -0.01(-2 + x) = 0.02(2 + -1x) 0.1 + (-2 * -0.01 + x * -0.01) = 0.02(2 + -1x) 0.1 + (0.02 + -0.01x) = 0.02(2 + -1x) Combine like terms: 0.1 + 0.02 = 0.12 0.12 + -0.01x = 0.02(2 + -1x) 0.12 + -0.01x = (2 * 0.02 + -1x * 0.02) 0.12 + -0.01x = (0.04 + -0.02x) Solving 0.12 + -0.01x = 0.04 + -0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.02x' to each side of the equation. 0.12 + -0.01x + 0.02x = 0.04 + -0.02x + 0.02x Combine like terms: -0.01x + 0.02x = 0.01x 0.12 + 0.01x = 0.04 + -0.02x + 0.02x Combine like terms: -0.02x + 0.02x = 0.00 0.12 + 0.01x = 0.04 + 0.00 0.12 + 0.01x = 0.04 Add '-0.12' to each side of the equation. 0.12 + -0.12 + 0.01x = 0.04 + -0.12 Combine like terms: 0.12 + -0.12 = 0.00 0.00 + 0.01x = 0.04 + -0.12 0.01x = 0.04 + -0.12 Combine like terms: 0.04 + -0.12 = -0.08 0.01x = -0.08 Divide each side by '0.01'. x = -8 Simplifying x = -8
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