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Simplifying 8(1 + 4x) + -7x = 8 + 4x (1 * 8 + 4x * 8) + -7x = 8 + 4x (8 + 32x) + -7x = 8 + 4x Combine like terms: 32x + -7x = 25x 8 + 25x = 8 + 4x Add '-8' to each side of the equation. 8 + -8 + 25x = 8 + -8 + 4x Combine like terms: 8 + -8 = 0 0 + 25x = 8 + -8 + 4x 25x = 8 + -8 + 4x Combine like terms: 8 + -8 = 0 25x = 0 + 4x 25x = 4x Solving 25x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 25x + -4x = 4x + -4x Combine like terms: 25x + -4x = 21x 21x = 4x + -4x Combine like terms: 4x + -4x = 0 21x = 0 Divide each side by '21'. x = 0 Simplifying x = 0
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