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Simplifying -3x + 1 = -7(x + 1) Reorder the terms: 1 + -3x = -7(x + 1) Reorder the terms: 1 + -3x = -7(1 + x) 1 + -3x = (1 * -7 + x * -7) 1 + -3x = (-7 + -7x) Solving 1 + -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. 1 + -3x + 7x = -7 + -7x + 7x Combine like terms: -3x + 7x = 4x 1 + 4x = -7 + -7x + 7x Combine like terms: -7x + 7x = 0 1 + 4x = -7 + 0 1 + 4x = -7 Add '-1' to each side of the equation. 1 + -1 + 4x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = -7 + -1 4x = -7 + -1 Combine like terms: -7 + -1 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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