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Simplifying 4.5 + 0.75x = 3 + 1x Solving 4.5 + 0.75x = 3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4.5 + 0.75x + -1x = 3 + 1x + -1x Combine like terms: 0.75x + -1x = -0.25x 4.5 + -0.25x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 4.5 + -0.25x = 3 + 0 4.5 + -0.25x = 3 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -0.25x = 3 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -0.25x = 3 + -4.5 -0.25x = 3 + -4.5 Combine like terms: 3 + -4.5 = -1.5 -0.25x = -1.5 Divide each side by '-0.25'. x = 6 Simplifying x = 6
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