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Simplifying 8(4x + 7) = 7x + 6 Reorder the terms: 8(7 + 4x) = 7x + 6 (7 * 8 + 4x * 8) = 7x + 6 (56 + 32x) = 7x + 6 Reorder the terms: 56 + 32x = 6 + 7x Solving 56 + 32x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 56 + 32x + -7x = 6 + 7x + -7x Combine like terms: 32x + -7x = 25x 56 + 25x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 56 + 25x = 6 + 0 56 + 25x = 6 Add '-56' to each side of the equation. 56 + -56 + 25x = 6 + -56 Combine like terms: 56 + -56 = 0 0 + 25x = 6 + -56 25x = 6 + -56 Combine like terms: 6 + -56 = -50 25x = -50 Divide each side by '25'. x = -2 Simplifying x = -2
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