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Simplifying 0.4x + -6 = 12x + 1.2 Reorder the terms: -6 + 0.4x = 12x + 1.2 Reorder the terms: -6 + 0.4x = 1.2 + 12x Solving -6 + 0.4x = 1.2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 0.4x + -12x = 1.2 + 12x + -12x Combine like terms: 0.4x + -12x = -11.6x -6 + -11.6x = 1.2 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -11.6x = 1.2 + 0 -6 + -11.6x = 1.2 Add '6' to each side of the equation. -6 + 6 + -11.6x = 1.2 + 6 Combine like terms: -6 + 6 = 0 0 + -11.6x = 1.2 + 6 -11.6x = 1.2 + 6 Combine like terms: 1.2 + 6 = 7.2 -11.6x = 7.2 Divide each side by '-11.6'. x = -0.6206896552 Simplifying x = -0.6206896552
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