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Simplifying 0.2 + -0.1(x + 3) = -0.04(2 + -1x) Reorder the terms: 0.2 + -0.1(3 + x) = -0.04(2 + -1x) 0.2 + (3 * -0.1 + x * -0.1) = -0.04(2 + -1x) 0.2 + (-0.3 + -0.1x) = -0.04(2 + -1x) Combine like terms: 0.2 + -0.3 = -0.1 -0.1 + -0.1x = -0.04(2 + -1x) -0.1 + -0.1x = (2 * -0.04 + -1x * -0.04) -0.1 + -0.1x = (-0.08 + 0.04x) Solving -0.1 + -0.1x = -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. -0.1 + -0.1x + -0.04x = -0.08 + 0.04x + -0.04x Combine like terms: -0.1x + -0.04x = -0.14x -0.1 + -0.14x = -0.08 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -0.1 + -0.14x = -0.08 + 0.00 -0.1 + -0.14x = -0.08 Add '0.1' to each side of the equation. -0.1 + 0.1 + -0.14x = -0.08 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + -0.14x = -0.08 + 0.1 -0.14x = -0.08 + 0.1 Combine like terms: -0.08 + 0.1 = 0.02 -0.14x = 0.02 Divide each side by '-0.14'. x = -0.1428571429 Simplifying x = -0.1428571429
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