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Simplifying -5(x + 7) + 4 = 7(x + -1) Reorder the terms: -5(7 + x) + 4 = 7(x + -1) (7 * -5 + x * -5) + 4 = 7(x + -1) (-35 + -5x) + 4 = 7(x + -1) Reorder the terms: -35 + 4 + -5x = 7(x + -1) Combine like terms: -35 + 4 = -31 -31 + -5x = 7(x + -1) Reorder the terms: -31 + -5x = 7(-1 + x) -31 + -5x = (-1 * 7 + x * 7) -31 + -5x = (-7 + 7x) Solving -31 + -5x = -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. -31 + -5x + -7x = -7 + 7x + -7x Combine like terms: -5x + -7x = -12x -31 + -12x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -31 + -12x = -7 + 0 -31 + -12x = -7 Add '31' to each side of the equation. -31 + 31 + -12x = -7 + 31 Combine like terms: -31 + 31 = 0 0 + -12x = -7 + 31 -12x = -7 + 31 Combine like terms: -7 + 31 = 24 -12x = 24 Divide each side by '-12'. x = -2 Simplifying x = -2
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