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Simplifying 7(3x + 8) = 8(4x + 7) Reorder the terms: 7(8 + 3x) = 8(4x + 7) (8 * 7 + 3x * 7) = 8(4x + 7) (56 + 21x) = 8(4x + 7) Reorder the terms: 56 + 21x = 8(7 + 4x) 56 + 21x = (7 * 8 + 4x * 8) 56 + 21x = (56 + 32x) Add '-56' to each side of the equation. 56 + -56 + 21x = 56 + -56 + 32x Combine like terms: 56 + -56 = 0 0 + 21x = 56 + -56 + 32x 21x = 56 + -56 + 32x Combine like terms: 56 + -56 = 0 21x = 0 + 32x 21x = 32x Solving 21x = 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 21x + -32x = 32x + -32x Combine like terms: 21x + -32x = -11x -11x = 32x + -32x Combine like terms: 32x + -32x = 0 -11x = 0 Divide each side by '-11'. x = 0 Simplifying x = 0
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