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Simplifying 8(3x + 1) = 7(2x + 4) Reorder the terms: 8(1 + 3x) = 7(2x + 4) (1 * 8 + 3x * 8) = 7(2x + 4) (8 + 24x) = 7(2x + 4) Reorder the terms: 8 + 24x = 7(4 + 2x) 8 + 24x = (4 * 7 + 2x * 7) 8 + 24x = (28 + 14x) Solving 8 + 24x = 28 + 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. 8 + 24x + -14x = 28 + 14x + -14x Combine like terms: 24x + -14x = 10x 8 + 10x = 28 + 14x + -14x Combine like terms: 14x + -14x = 0 8 + 10x = 28 + 0 8 + 10x = 28 Add '-8' to each side of the equation. 8 + -8 + 10x = 28 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = 28 + -8 10x = 28 + -8 Combine like terms: 28 + -8 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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