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Simplifying 8(4x + 1) = 4x + -7x Reorder the terms: 8(1 + 4x) = 4x + -7x (1 * 8 + 4x * 8) = 4x + -7x (8 + 32x) = 4x + -7x Combine like terms: 4x + -7x = -3x 8 + 32x = -3x Solving 8 + 32x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + 32x + 3x = -3x + 3x Combine like terms: 32x + 3x = 35x 8 + 35x = -3x + 3x Combine like terms: -3x + 3x = 0 8 + 35x = 0 Add '-8' to each side of the equation. 8 + -8 + 35x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 35x = 0 + -8 35x = 0 + -8 Combine like terms: 0 + -8 = -8 35x = -8 Divide each side by '35'. x = -0.2285714286 Simplifying x = -0.2285714286
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