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Simplifying 0.4x + 5 = 1.2x + -4 Reorder the terms: 5 + 0.4x = 1.2x + -4 Reorder the terms: 5 + 0.4x = -4 + 1.2x Solving 5 + 0.4x = -4 + 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. 5 + 0.4x + -1.2x = -4 + 1.2x + -1.2x Combine like terms: 0.4x + -1.2x = -0.8x 5 + -0.8x = -4 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 5 + -0.8x = -4 + 0.0 5 + -0.8x = -4 Add '-5' to each side of the equation. 5 + -5 + -0.8x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -0.8x = -4 + -5 -0.8x = -4 + -5 Combine like terms: -4 + -5 = -9 -0.8x = -9 Divide each side by '-0.8'. x = 11.25 Simplifying x = 11.25
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