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Simplifying 3(5x + 4) = 2(7x + 8) Reorder the terms: 3(4 + 5x) = 2(7x + 8) (4 * 3 + 5x * 3) = 2(7x + 8) (12 + 15x) = 2(7x + 8) Reorder the terms: 12 + 15x = 2(8 + 7x) 12 + 15x = (8 * 2 + 7x * 2) 12 + 15x = (16 + 14x) Solving 12 + 15x = 16 + 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. 12 + 15x + -14x = 16 + 14x + -14x Combine like terms: 15x + -14x = 1x 12 + 1x = 16 + 14x + -14x Combine like terms: 14x + -14x = 0 12 + 1x = 16 + 0 12 + 1x = 16 Add '-12' to each side of the equation. 12 + -12 + 1x = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 16 + -12 1x = 16 + -12 Combine like terms: 16 + -12 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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