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Simplifying 4x + 0.5 = -3x + 14.5 Reorder the terms: 0.5 + 4x = -3x + 14.5 Reorder the terms: 0.5 + 4x = 14.5 + -3x Solving 0.5 + 4x = 14.5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 0.5 + 4x + 3x = 14.5 + -3x + 3x Combine like terms: 4x + 3x = 7x 0.5 + 7x = 14.5 + -3x + 3x Combine like terms: -3x + 3x = 0 0.5 + 7x = 14.5 + 0 0.5 + 7x = 14.5 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 7x = 14.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 7x = 14.5 + -0.5 7x = 14.5 + -0.5 Combine like terms: 14.5 + -0.5 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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