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Simplifying 4x + 5 = 0.5(9x + 4) Reorder the terms: 5 + 4x = 0.5(9x + 4) Reorder the terms: 5 + 4x = 0.5(4 + 9x) 5 + 4x = (4 * 0.5 + 9x * 0.5) 5 + 4x = (2 + 4.5x) Solving 5 + 4x = 2 + 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. 5 + 4x + -4.5x = 2 + 4.5x + -4.5x Combine like terms: 4x + -4.5x = -0.5x 5 + -0.5x = 2 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 5 + -0.5x = 2 + 0.0 5 + -0.5x = 2 Add '-5' to each side of the equation. 5 + -5 + -0.5x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -0.5x = 2 + -5 -0.5x = 2 + -5 Combine like terms: 2 + -5 = -3 -0.5x = -3 Divide each side by '-0.5'. x = 6 Simplifying x = 6
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