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Simplifying 0.12 + -0.01(x + 2) = -0.02(4 + -1x) Reorder the terms: 0.12 + -0.01(2 + x) = -0.02(4 + -1x) 0.12 + (2 * -0.01 + x * -0.01) = -0.02(4 + -1x) 0.12 + (-0.02 + -0.01x) = -0.02(4 + -1x) Combine like terms: 0.12 + -0.02 = 0.1 0.1 + -0.01x = -0.02(4 + -1x) 0.1 + -0.01x = (4 * -0.02 + -1x * -0.02) 0.1 + -0.01x = (-0.08 + 0.02x) Solving 0.1 + -0.01x = -0.08 + 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. 0.1 + -0.01x + -0.02x = -0.08 + 0.02x + -0.02x Combine like terms: -0.01x + -0.02x = -0.03x 0.1 + -0.03x = -0.08 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 0.1 + -0.03x = -0.08 + 0.00 0.1 + -0.03x = -0.08 Add '-0.1' to each side of the equation. 0.1 + -0.1 + -0.03x = -0.08 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.03x = -0.08 + -0.1 -0.03x = -0.08 + -0.1 Combine like terms: -0.08 + -0.1 = -0.18 -0.03x = -0.18 Divide each side by '-0.03'. x = 6 Simplifying x = 6
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