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Simplifying 9x + 4 = 2(4x + 9) Reorder the terms: 4 + 9x = 2(4x + 9) Reorder the terms: 4 + 9x = 2(9 + 4x) 4 + 9x = (9 * 2 + 4x * 2) 4 + 9x = (18 + 8x) Solving 4 + 9x = 18 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 9x + -8x = 18 + 8x + -8x Combine like terms: 9x + -8x = 1x 4 + 1x = 18 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + 1x = 18 + 0 4 + 1x = 18 Add '-4' to each side of the equation. 4 + -4 + 1x = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 18 + -4 1x = 18 + -4 Combine like terms: 18 + -4 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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