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Simplifying 5(7x + 1) = -27 + 3x Reorder the terms: 5(1 + 7x) = -27 + 3x (1 * 5 + 7x * 5) = -27 + 3x (5 + 35x) = -27 + 3x Solving 5 + 35x = -27 + 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. 5 + 35x + -3x = -27 + 3x + -3x Combine like terms: 35x + -3x = 32x 5 + 32x = -27 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 32x = -27 + 0 5 + 32x = -27 Add '-5' to each side of the equation. 5 + -5 + 32x = -27 + -5 Combine like terms: 5 + -5 = 0 0 + 32x = -27 + -5 32x = -27 + -5 Combine like terms: -27 + -5 = -32 32x = -32 Divide each side by '32'. x = -1 Simplifying x = -1
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