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Simplifying 2(7x + 6) = 6(3x + 4) Reorder the terms: 2(6 + 7x) = 6(3x + 4) (6 * 2 + 7x * 2) = 6(3x + 4) (12 + 14x) = 6(3x + 4) Reorder the terms: 12 + 14x = 6(4 + 3x) 12 + 14x = (4 * 6 + 3x * 6) 12 + 14x = (24 + 18x) Solving 12 + 14x = 24 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 12 + 14x + -18x = 24 + 18x + -18x Combine like terms: 14x + -18x = -4x 12 + -4x = 24 + 18x + -18x Combine like terms: 18x + -18x = 0 12 + -4x = 24 + 0 12 + -4x = 24 Add '-12' to each side of the equation. 12 + -12 + -4x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 24 + -12 -4x = 24 + -12 Combine like terms: 24 + -12 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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