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Simplifying 12(3x + 7) = 8(x + 7) Reorder the terms: 12(7 + 3x) = 8(x + 7) (7 * 12 + 3x * 12) = 8(x + 7) (84 + 36x) = 8(x + 7) Reorder the terms: 84 + 36x = 8(7 + x) 84 + 36x = (7 * 8 + x * 8) 84 + 36x = (56 + 8x) Solving 84 + 36x = 56 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 84 + 36x + -8x = 56 + 8x + -8x Combine like terms: 36x + -8x = 28x 84 + 28x = 56 + 8x + -8x Combine like terms: 8x + -8x = 0 84 + 28x = 56 + 0 84 + 28x = 56 Add '-84' to each side of the equation. 84 + -84 + 28x = 56 + -84 Combine like terms: 84 + -84 = 0 0 + 28x = 56 + -84 28x = 56 + -84 Combine like terms: 56 + -84 = -28 28x = -28 Divide each side by '28'. x = -1 Simplifying x = -1
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