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Simplifying 4(3x + 9) = 2(7x + 13) Reorder the terms: 4(9 + 3x) = 2(7x + 13) (9 * 4 + 3x * 4) = 2(7x + 13) (36 + 12x) = 2(7x + 13) Reorder the terms: 36 + 12x = 2(13 + 7x) 36 + 12x = (13 * 2 + 7x * 2) 36 + 12x = (26 + 14x) Solving 36 + 12x = 26 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 36 + 12x + -14x = 26 + 14x + -14x Combine like terms: 12x + -14x = -2x 36 + -2x = 26 + 14x + -14x Combine like terms: 14x + -14x = 0 36 + -2x = 26 + 0 36 + -2x = 26 Add '-36' to each side of the equation. 36 + -36 + -2x = 26 + -36 Combine like terms: 36 + -36 = 0 0 + -2x = 26 + -36 -2x = 26 + -36 Combine like terms: 26 + -36 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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