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Simplifying 0.4(x + -2) = 3.4 + -0.2x Reorder the terms: 0.4(-2 + x) = 3.4 + -0.2x (-2 * 0.4 + x * 0.4) = 3.4 + -0.2x (-0.8 + 0.4x) = 3.4 + -0.2x Solving -0.8 + 0.4x = 3.4 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. -0.8 + 0.4x + 0.2x = 3.4 + -0.2x + 0.2x Combine like terms: 0.4x + 0.2x = 0.6x -0.8 + 0.6x = 3.4 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -0.8 + 0.6x = 3.4 + 0.0 -0.8 + 0.6x = 3.4 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.6x = 3.4 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.6x = 3.4 + 0.8 0.6x = 3.4 + 0.8 Combine like terms: 3.4 + 0.8 = 4.2 0.6x = 4.2 Divide each side by '0.6'. x = 7 Simplifying x = 7
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