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Simplifying 8 + -3x + 1 = -7(x + 1) Reorder the terms: 8 + 1 + -3x = -7(x + 1) Combine like terms: 8 + 1 = 9 9 + -3x = -7(x + 1) Reorder the terms: 9 + -3x = -7(1 + x) 9 + -3x = (1 * -7 + x * -7) 9 + -3x = (-7 + -7x) Solving 9 + -3x = -7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 9 + -3x + 7x = -7 + -7x + 7x Combine like terms: -3x + 7x = 4x 9 + 4x = -7 + -7x + 7x Combine like terms: -7x + 7x = 0 9 + 4x = -7 + 0 9 + 4x = -7 Add '-9' to each side of the equation. 9 + -9 + 4x = -7 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = -7 + -9 4x = -7 + -9 Combine like terms: -7 + -9 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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