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Simplifying 0.5x + 1 = 7 + 4.5x Reorder the terms: 1 + 0.5x = 7 + 4.5x Solving 1 + 0.5x = 7 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 1 + 0.5x + -4.5x = 7 + 4.5x + -4.5x Combine like terms: 0.5x + -4.5x = -4x 1 + -4x = 7 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 1 + -4x = 7 + 0.0 1 + -4x = 7 Add '-1' to each side of the equation. 1 + -1 + -4x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 7 + -1 -4x = 7 + -1 Combine like terms: 7 + -1 = 6 -4x = 6 Divide each side by '-4'. x = -1.5 Simplifying x = -1.5
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