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Simplifying 15 = 8(1 + 8x) + 7(1 + 8x) 15 = (1 * 8 + 8x * 8) + 7(1 + 8x) 15 = (8 + 64x) + 7(1 + 8x) 15 = 8 + 64x + (1 * 7 + 8x * 7) 15 = 8 + 64x + (7 + 56x) Reorder the terms: 15 = 8 + 7 + 64x + 56x Combine like terms: 8 + 7 = 15 15 = 15 + 64x + 56x Combine like terms: 64x + 56x = 120x 15 = 15 + 120x Add '-15' to each side of the equation. 15 + -15 = 15 + -15 + 120x Combine like terms: 15 + -15 = 0 0 = 15 + -15 + 120x Combine like terms: 15 + -15 = 0 0 = 0 + 120x 0 = 120x Solving 0 = 120x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120x' to each side of the equation. 0 + -120x = 120x + -120x Remove the zero: -120x = 120x + -120x Combine like terms: 120x + -120x = 0 -120x = 0 Divide each side by '-120'. x = 0 Simplifying x = 0
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