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Simplifying -5x + -1(2 + -1x) = 2(x + -7) -5x + (2 * -1 + -1x * -1) = 2(x + -7) -5x + (-2 + 1x) = 2(x + -7) Reorder the terms: -2 + -5x + 1x = 2(x + -7) Combine like terms: -5x + 1x = -4x -2 + -4x = 2(x + -7) Reorder the terms: -2 + -4x = 2(-7 + x) -2 + -4x = (-7 * 2 + x * 2) -2 + -4x = (-14 + 2x) Solving -2 + -4x = -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 + -4x + -2x = -14 + 2x + -2x Combine like terms: -4x + -2x = -6x -2 + -6x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -6x = -14 + 0 -2 + -6x = -14 Add '2' to each side of the equation. -2 + 2 + -6x = -14 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = -14 + 2 -6x = -14 + 2 Combine like terms: -14 + 2 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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