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Simplifying 0.4(x + -5) = 0.2(10 + -12x) Reorder the terms: 0.4(-5 + x) = 0.2(10 + -12x) (-5 * 0.4 + x * 0.4) = 0.2(10 + -12x) (-2 + 0.4x) = 0.2(10 + -12x) -2 + 0.4x = (10 * 0.2 + -12x * 0.2) -2 + 0.4x = (2 + -2.4x) Solving -2 + 0.4x = 2 + -2.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.4x' to each side of the equation. -2 + 0.4x + 2.4x = 2 + -2.4x + 2.4x Combine like terms: 0.4x + 2.4x = 2.8x -2 + 2.8x = 2 + -2.4x + 2.4x Combine like terms: -2.4x + 2.4x = 0.0 -2 + 2.8x = 2 + 0.0 -2 + 2.8x = 2 Add '2' to each side of the equation. -2 + 2 + 2.8x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 2.8x = 2 + 2 2.8x = 2 + 2 Combine like terms: 2 + 2 = 4 2.8x = 4 Divide each side by '2.8'. x = 1.428571429 Simplifying x = 1.428571429
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