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Simplifying 0.8x + 2.25 = 1.2x + 0.6 Reorder the terms: 2.25 + 0.8x = 1.2x + 0.6 Reorder the terms: 2.25 + 0.8x = 0.6 + 1.2x Solving 2.25 + 0.8x = 0.6 + 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. 2.25 + 0.8x + -1.2x = 0.6 + 1.2x + -1.2x Combine like terms: 0.8x + -1.2x = -0.4x 2.25 + -0.4x = 0.6 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 2.25 + -0.4x = 0.6 + 0.0 2.25 + -0.4x = 0.6 Add '-2.25' to each side of the equation. 2.25 + -2.25 + -0.4x = 0.6 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + -0.4x = 0.6 + -2.25 -0.4x = 0.6 + -2.25 Combine like terms: 0.6 + -2.25 = -1.65 -0.4x = -1.65 Divide each side by '-0.4'. x = 4.125 Simplifying x = 4.125
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