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Simplifying 6x + 8 = 4(x + 9) Reorder the terms: 8 + 6x = 4(x + 9) Reorder the terms: 8 + 6x = 4(9 + x) 8 + 6x = (9 * 4 + x * 4) 8 + 6x = (36 + 4x) Solving 8 + 6x = 36 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 6x + -4x = 36 + 4x + -4x Combine like terms: 6x + -4x = 2x 8 + 2x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 2x = 36 + 0 8 + 2x = 36 Add '-8' to each side of the equation. 8 + -8 + 2x = 36 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 36 + -8 2x = 36 + -8 Combine like terms: 36 + -8 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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