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Simplifying 3(0.2x + -2) = 0.4(2x + 0.5) Reorder the terms: 3(-2 + 0.2x) = 0.4(2x + 0.5) (-2 * 3 + 0.2x * 3) = 0.4(2x + 0.5) (-6 + 0.6x) = 0.4(2x + 0.5) Reorder the terms: -6 + 0.6x = 0.4(0.5 + 2x) -6 + 0.6x = (0.5 * 0.4 + 2x * 0.4) -6 + 0.6x = (0.2 + 0.8x) Solving -6 + 0.6x = 0.2 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. -6 + 0.6x + -0.8x = 0.2 + 0.8x + -0.8x Combine like terms: 0.6x + -0.8x = -0.2x -6 + -0.2x = 0.2 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -6 + -0.2x = 0.2 + 0.0 -6 + -0.2x = 0.2 Add '6' to each side of the equation. -6 + 6 + -0.2x = 0.2 + 6 Combine like terms: -6 + 6 = 0 0 + -0.2x = 0.2 + 6 -0.2x = 0.2 + 6 Combine like terms: 0.2 + 6 = 6.2 -0.2x = 6.2 Divide each side by '-0.2'. x = -31 Simplifying x = -31
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