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Simplifying 2x + 4.5 = 7x + -0.5 Reorder the terms: 4.5 + 2x = 7x + -0.5 Reorder the terms: 4.5 + 2x = -0.5 + 7x Solving 4.5 + 2x = -0.5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4.5 + 2x + -7x = -0.5 + 7x + -7x Combine like terms: 2x + -7x = -5x 4.5 + -5x = -0.5 + 7x + -7x Combine like terms: 7x + -7x = 0 4.5 + -5x = -0.5 + 0 4.5 + -5x = -0.5 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -5x = -0.5 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -5x = -0.5 + -4.5 -5x = -0.5 + -4.5 Combine like terms: -0.5 + -4.5 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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