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Simplifying 0.6x + -0.2(x + -4) = 0.4(-2) Reorder the terms: 0.6x + -0.2(-4 + x) = 0.4(-2) 0.6x + (-4 * -0.2 + x * -0.2) = 0.4(-2) 0.6x + (0.8 + -0.2x) = 0.4(-2) Reorder the terms: 0.8 + 0.6x + -0.2x = 0.4(-2) Combine like terms: 0.6x + -0.2x = 0.4x 0.8 + 0.4x = 0.4(-2) Multiply 0.4 * -2 0.8 + 0.4x = -0.8 Solving 0.8 + 0.4x = -0.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + 0.4x = -0.8 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.4x = -0.8 + -0.8 0.4x = -0.8 + -0.8 Combine like terms: -0.8 + -0.8 = -1.6 0.4x = -1.6 Divide each side by '0.4'. x = -4 Simplifying x = -4
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