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Simplifying 4x + 14 = 4.5x + 4.5 Reorder the terms: 14 + 4x = 4.5x + 4.5 Reorder the terms: 14 + 4x = 4.5 + 4.5x Solving 14 + 4x = 4.5 + 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. 14 + 4x + -4.5x = 4.5 + 4.5x + -4.5x Combine like terms: 4x + -4.5x = -0.5x 14 + -0.5x = 4.5 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 14 + -0.5x = 4.5 + 0.0 14 + -0.5x = 4.5 Add '-14' to each side of the equation. 14 + -14 + -0.5x = 4.5 + -14 Combine like terms: 14 + -14 = 0 0 + -0.5x = 4.5 + -14 -0.5x = 4.5 + -14 Combine like terms: 4.5 + -14 = -9.5 -0.5x = -9.5 Divide each side by '-0.5'. x = 19 Simplifying x = 19
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