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Simplifying 8x + 4(8x + 4) = 5x + 1 Reorder the terms: 8x + 4(4 + 8x) = 5x + 1 8x + (4 * 4 + 8x * 4) = 5x + 1 8x + (16 + 32x) = 5x + 1 Reorder the terms: 16 + 8x + 32x = 5x + 1 Combine like terms: 8x + 32x = 40x 16 + 40x = 5x + 1 Reorder the terms: 16 + 40x = 1 + 5x Solving 16 + 40x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 16 + 40x + -5x = 1 + 5x + -5x Combine like terms: 40x + -5x = 35x 16 + 35x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + 35x = 1 + 0 16 + 35x = 1 Add '-16' to each side of the equation. 16 + -16 + 35x = 1 + -16 Combine like terms: 16 + -16 = 0 0 + 35x = 1 + -16 35x = 1 + -16 Combine like terms: 1 + -16 = -15 35x = -15 Divide each side by '35'. x = -0.4285714286 Simplifying x = -0.4285714286
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