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Simplifying 8 + -7x = 1 + -4(3x + 7) Reorder the terms: 8 + -7x = 1 + -4(7 + 3x) 8 + -7x = 1 + (7 * -4 + 3x * -4) 8 + -7x = 1 + (-28 + -12x) Combine like terms: 1 + -28 = -27 8 + -7x = -27 + -12x Solving 8 + -7x = -27 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 8 + -7x + 12x = -27 + -12x + 12x Combine like terms: -7x + 12x = 5x 8 + 5x = -27 + -12x + 12x Combine like terms: -12x + 12x = 0 8 + 5x = -27 + 0 8 + 5x = -27 Add '-8' to each side of the equation. 8 + -8 + 5x = -27 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = -27 + -8 5x = -27 + -8 Combine like terms: -27 + -8 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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