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Simplifying 4(x + 2) = 2x + 9 Reorder the terms: 4(2 + x) = 2x + 9 (2 * 4 + x * 4) = 2x + 9 (8 + 4x) = 2x + 9 Reorder the terms: 8 + 4x = 9 + 2x Solving 8 + 4x = 9 + 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. 8 + 4x + -2x = 9 + 2x + -2x Combine like terms: 4x + -2x = 2x 8 + 2x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 2x = 9 + 0 8 + 2x = 9 Add '-8' to each side of the equation. 8 + -8 + 2x = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 9 + -8 2x = 9 + -8 Combine like terms: 9 + -8 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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