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Simplifying 7x + -1(x + 2) = -2(x + -7) Reorder the terms: 7x + -1(2 + x) = -2(x + -7) 7x + (2 * -1 + x * -1) = -2(x + -7) 7x + (-2 + -1x) = -2(x + -7) Reorder the terms: -2 + 7x + -1x = -2(x + -7) Combine like terms: 7x + -1x = 6x -2 + 6x = -2(x + -7) Reorder the terms: -2 + 6x = -2(-7 + x) -2 + 6x = (-7 * -2 + x * -2) -2 + 6x = (14 + -2x) Solving -2 + 6x = 14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -2 + 6x + 2x = 14 + -2x + 2x Combine like terms: 6x + 2x = 8x -2 + 8x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 8x = 14 + 0 -2 + 8x = 14 Add '2' to each side of the equation. -2 + 2 + 8x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 14 + 2 8x = 14 + 2 Combine like terms: 14 + 2 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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