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Simplifying 1.2x + -4.5 = 0.8x + -1.74 Reorder the terms: -4.5 + 1.2x = 0.8x + -1.74 Reorder the terms: -4.5 + 1.2x = -1.74 + 0.8x Solving -4.5 + 1.2x = -1.74 + 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. -4.5 + 1.2x + -0.8x = -1.74 + 0.8x + -0.8x Combine like terms: 1.2x + -0.8x = 0.4x -4.5 + 0.4x = -1.74 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -4.5 + 0.4x = -1.74 + 0.0 -4.5 + 0.4x = -1.74 Add '4.5' to each side of the equation. -4.5 + 4.5 + 0.4x = -1.74 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 0.4x = -1.74 + 4.5 0.4x = -1.74 + 4.5 Combine like terms: -1.74 + 4.5 = 2.76 0.4x = 2.76 Divide each side by '0.4'. x = 6.9 Simplifying x = 6.9
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