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Simplifying 4(7x + 9) = 8(7x + 1) Reorder the terms: 4(9 + 7x) = 8(7x + 1) (9 * 4 + 7x * 4) = 8(7x + 1) (36 + 28x) = 8(7x + 1) Reorder the terms: 36 + 28x = 8(1 + 7x) 36 + 28x = (1 * 8 + 7x * 8) 36 + 28x = (8 + 56x) Solving 36 + 28x = 8 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. 36 + 28x + -56x = 8 + 56x + -56x Combine like terms: 28x + -56x = -28x 36 + -28x = 8 + 56x + -56x Combine like terms: 56x + -56x = 0 36 + -28x = 8 + 0 36 + -28x = 8 Add '-36' to each side of the equation. 36 + -36 + -28x = 8 + -36 Combine like terms: 36 + -36 = 0 0 + -28x = 8 + -36 -28x = 8 + -36 Combine like terms: 8 + -36 = -28 -28x = -28 Divide each side by '-28'. x = 1 Simplifying x = 1
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