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Simplifying 7(x + 4) = 6(2x + 3) Reorder the terms: 7(4 + x) = 6(2x + 3) (4 * 7 + x * 7) = 6(2x + 3) (28 + 7x) = 6(2x + 3) Reorder the terms: 28 + 7x = 6(3 + 2x) 28 + 7x = (3 * 6 + 2x * 6) 28 + 7x = (18 + 12x) Solving 28 + 7x = 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 + 7x + -12x = 18 + 12x + -12x Combine like terms: 7x + -12x = -5x 28 + -5x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 28 + -5x = 18 + 0 28 + -5x = 18 Add '-28' to each side of the equation. 28 + -28 + -5x = 18 + -28 Combine like terms: 28 + -28 = 0 0 + -5x = 18 + -28 -5x = 18 + -28 Combine like terms: 18 + -28 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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