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Simplifying x(7)(x + 2k) = 315 Reorder the terms: x * 7(2k + x) = 315 Reorder the terms for easier multiplication: 7x(2k + x) = 315 (2k * 7x + x * 7x) = 315 (14kx + 7x2) = 315 Solving 14kx + 7x2 = 315 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7x2' to each side of the equation. 14kx + 7x2 + -7x2 = 315 + -7x2 Combine like terms: 7x2 + -7x2 = 0 14kx + 0 = 315 + -7x2 14kx = 315 + -7x2 Divide each side by '14x'. k = 22.5x-1 + -0.5x Simplifying k = 22.5x-1 + -0.5x
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