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Simplifying 7(2x + 4) = 6(2x + -3) Reorder the terms: 7(4 + 2x) = 6(2x + -3) (4 * 7 + 2x * 7) = 6(2x + -3) (28 + 14x) = 6(2x + -3) Reorder the terms: 28 + 14x = 6(-3 + 2x) 28 + 14x = (-3 * 6 + 2x * 6) 28 + 14x = (-18 + 12x) Solving 28 + 14x = -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. 28 + 14x + -12x = -18 + 12x + -12x Combine like terms: 14x + -12x = 2x 28 + 2x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 28 + 2x = -18 + 0 28 + 2x = -18 Add '-28' to each side of the equation. 28 + -28 + 2x = -18 + -28 Combine like terms: 28 + -28 = 0 0 + 2x = -18 + -28 2x = -18 + -28 Combine like terms: -18 + -28 = -46 2x = -46 Divide each side by '2'. x = -23 Simplifying x = -23
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