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Simplifying 0.4x + -6 = 1.2x + 12 Reorder the terms: -6 + 0.4x = 1.2x + 12 Reorder the terms: -6 + 0.4x = 12 + 1.2x Solving -6 + 0.4x = 12 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. -6 + 0.4x + -1.2x = 12 + 1.2x + -1.2x Combine like terms: 0.4x + -1.2x = -0.8x -6 + -0.8x = 12 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -6 + -0.8x = 12 + 0.0 -6 + -0.8x = 12 Add '6' to each side of the equation. -6 + 6 + -0.8x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -0.8x = 12 + 6 -0.8x = 12 + 6 Combine like terms: 12 + 6 = 18 -0.8x = 18 Divide each side by '-0.8'. x = -22.5 Simplifying x = -22.5
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