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Simplifying -5x + -2 = -7(x + -2) Reorder the terms: -2 + -5x = -7(x + -2) Reorder the terms: -2 + -5x = -7(-2 + x) -2 + -5x = (-2 * -7 + x * -7) -2 + -5x = (14 + -7x) Solving -2 + -5x = 14 + -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. -2 + -5x + 7x = 14 + -7x + 7x Combine like terms: -5x + 7x = 2x -2 + 2x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 -2 + 2x = 14 + 0 -2 + 2x = 14 Add '2' to each side of the equation. -2 + 2 + 2x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 14 + 2 2x = 14 + 2 Combine like terms: 14 + 2 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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