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Simplifying 2(x + 4) = 6(2x + 3) Reorder the terms: 2(4 + x) = 6(2x + 3) (4 * 2 + x * 2) = 6(2x + 3) (8 + 2x) = 6(2x + 3) Reorder the terms: 8 + 2x = 6(3 + 2x) 8 + 2x = (3 * 6 + 2x * 6) 8 + 2x = (18 + 12x) Solving 8 + 2x = 18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + 2x + -12x = 18 + 12x + -12x Combine like terms: 2x + -12x = -10x 8 + -10x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -10x = 18 + 0 8 + -10x = 18 Add '-8' to each side of the equation. 8 + -8 + -10x = 18 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = 18 + -8 -10x = 18 + -8 Combine like terms: 18 + -8 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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