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Simplifying -5x + -1(x + 6) = 2(1 + -7x) Reorder the terms: -5x + -1(6 + x) = 2(1 + -7x) -5x + (6 * -1 + x * -1) = 2(1 + -7x) -5x + (-6 + -1x) = 2(1 + -7x) Reorder the terms: -6 + -5x + -1x = 2(1 + -7x) Combine like terms: -5x + -1x = -6x -6 + -6x = 2(1 + -7x) -6 + -6x = (1 * 2 + -7x * 2) -6 + -6x = (2 + -14x) Solving -6 + -6x = 2 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -6 + -6x + 14x = 2 + -14x + 14x Combine like terms: -6x + 14x = 8x -6 + 8x = 2 + -14x + 14x Combine like terms: -14x + 14x = 0 -6 + 8x = 2 + 0 -6 + 8x = 2 Add '6' to each side of the equation. -6 + 6 + 8x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 2 + 6 8x = 2 + 6 Combine like terms: 2 + 6 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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