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Simplifying 0.2 + -0.2(x + 2) = -0.04(2 + -1x) Reorder the terms: 0.2 + -0.2(2 + x) = -0.04(2 + -1x) 0.2 + (2 * -0.2 + x * -0.2) = -0.04(2 + -1x) 0.2 + (-0.4 + -0.2x) = -0.04(2 + -1x) Combine like terms: 0.2 + -0.4 = -0.2 -0.2 + -0.2x = -0.04(2 + -1x) -0.2 + -0.2x = (2 * -0.04 + -1x * -0.04) -0.2 + -0.2x = (-0.08 + 0.04x) Solving -0.2 + -0.2x = -0.08 + 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. -0.2 + -0.2x + -0.04x = -0.08 + 0.04x + -0.04x Combine like terms: -0.2x + -0.04x = -0.24x -0.2 + -0.24x = -0.08 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -0.2 + -0.24x = -0.08 + 0.00 -0.2 + -0.24x = -0.08 Add '0.2' to each side of the equation. -0.2 + 0.2 + -0.24x = -0.08 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -0.24x = -0.08 + 0.2 -0.24x = -0.08 + 0.2 Combine like terms: -0.08 + 0.2 = 0.12 -0.24x = 0.12 Divide each side by '-0.24'. x = -0.5 Simplifying x = -0.5
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