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Simplifying 5x + -1(6 + -1x) = 2(x + -7) 5x + (6 * -1 + -1x * -1) = 2(x + -7) 5x + (-6 + 1x) = 2(x + -7) Reorder the terms: -6 + 5x + 1x = 2(x + -7) Combine like terms: 5x + 1x = 6x -6 + 6x = 2(x + -7) Reorder the terms: -6 + 6x = 2(-7 + x) -6 + 6x = (-7 * 2 + x * 2) -6 + 6x = (-14 + 2x) Solving -6 + 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. -6 + 6x + -2x = -14 + 2x + -2x Combine like terms: 6x + -2x = 4x -6 + 4x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 4x = -14 + 0 -6 + 4x = -14 Add '6' to each side of the equation. -6 + 6 + 4x = -14 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -14 + 6 4x = -14 + 6 Combine like terms: -14 + 6 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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