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Simplifying 2(3x + 4) = 4(2x + 6) Reorder the terms: 2(4 + 3x) = 4(2x + 6) (4 * 2 + 3x * 2) = 4(2x + 6) (8 + 6x) = 4(2x + 6) Reorder the terms: 8 + 6x = 4(6 + 2x) 8 + 6x = (6 * 4 + 2x * 4) 8 + 6x = (24 + 8x) Solving 8 + 6x = 24 + 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. 8 + 6x + -8x = 24 + 8x + -8x Combine like terms: 6x + -8x = -2x 8 + -2x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -2x = 24 + 0 8 + -2x = 24 Add '-8' to each side of the equation. 8 + -8 + -2x = 24 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 24 + -8 -2x = 24 + -8 Combine like terms: 24 + -8 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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