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Simplifying -1(x + 7) = 3x + 5 Reorder the terms: -1(7 + x) = 3x + 5 (7 * -1 + x * -1) = 3x + 5 (-7 + -1x) = 3x + 5 Reorder the terms: -7 + -1x = 5 + 3x Solving -7 + -1x = 5 + 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. -7 + -1x + -3x = 5 + 3x + -3x Combine like terms: -1x + -3x = -4x -7 + -4x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + -4x = 5 + 0 -7 + -4x = 5 Add '7' to each side of the equation. -7 + 7 + -4x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 5 + 7 -4x = 5 + 7 Combine like terms: 5 + 7 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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