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Simplifying 4x + 80 = 5.5(x + 5) Reorder the terms: 80 + 4x = 5.5(x + 5) Reorder the terms: 80 + 4x = 5.5(5 + x) 80 + 4x = (5 * 5.5 + x * 5.5) 80 + 4x = (27.5 + 5.5x) Solving 80 + 4x = 27.5 + 5.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.5x' to each side of the equation. 80 + 4x + -5.5x = 27.5 + 5.5x + -5.5x Combine like terms: 4x + -5.5x = -1.5x 80 + -1.5x = 27.5 + 5.5x + -5.5x Combine like terms: 5.5x + -5.5x = 0.0 80 + -1.5x = 27.5 + 0.0 80 + -1.5x = 27.5 Add '-80' to each side of the equation. 80 + -80 + -1.5x = 27.5 + -80 Combine like terms: 80 + -80 = 0 0 + -1.5x = 27.5 + -80 -1.5x = 27.5 + -80 Combine like terms: 27.5 + -80 = -52.5 -1.5x = -52.5 Divide each side by '-1.5'. x = 35 Simplifying x = 35
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