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Simplifying 0.12 + -0.1(x + 2) = -0.02(4 + -1x) Reorder the terms: 0.12 + -0.1(2 + x) = -0.02(4 + -1x) 0.12 + (2 * -0.1 + x * -0.1) = -0.02(4 + -1x) 0.12 + (-0.2 + -0.1x) = -0.02(4 + -1x) Combine like terms: 0.12 + -0.2 = -0.08 -0.08 + -0.1x = -0.02(4 + -1x) -0.08 + -0.1x = (4 * -0.02 + -1x * -0.02) -0.08 + -0.1x = (-0.08 + 0.02x) Add '0.08' to each side of the equation. -0.08 + 0.08 + -0.1x = -0.08 + 0.08 + 0.02x Combine like terms: -0.08 + 0.08 = 0.00 0.00 + -0.1x = -0.08 + 0.08 + 0.02x -0.1x = -0.08 + 0.08 + 0.02x Combine like terms: -0.08 + 0.08 = 0.00 -0.1x = 0.00 + 0.02x -0.1x = 0.02x Solving -0.1x = 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. -0.1x + -0.02x = 0.02x + -0.02x Combine like terms: -0.1x + -0.02x = -0.12x -0.12x = 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -0.12x = 0.00 Divide each side by '-0.12'. x = 0 Simplifying x = 0
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