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Simplifying 4x + 9 = 2(x + 5.5) Reorder the terms: 9 + 4x = 2(x + 5.5) Reorder the terms: 9 + 4x = 2(5.5 + x) 9 + 4x = (5.5 * 2 + x * 2) 9 + 4x = (11 + 2x) Solving 9 + 4x = 11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + 4x + -2x = 11 + 2x + -2x Combine like terms: 4x + -2x = 2x 9 + 2x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 2x = 11 + 0 9 + 2x = 11 Add '-9' to each side of the equation. 9 + -9 + 2x = 11 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 11 + -9 2x = 11 + -9 Combine like terms: 11 + -9 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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