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Simplifying -5x + -5(5 + -1x) = 2(x + -7) -5x + (5 * -5 + -1x * -5) = 2(x + -7) -5x + (-25 + 5x) = 2(x + -7) Reorder the terms: -25 + -5x + 5x = 2(x + -7) Combine like terms: -5x + 5x = 0 -25 + 0 = 2(x + -7) -25 = 2(x + -7) Reorder the terms: -25 = 2(-7 + x) -25 = (-7 * 2 + x * 2) -25 = (-14 + 2x) Solving -25 = -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. -25 + -2x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -25 + -2x = -14 + 0 -25 + -2x = -14 Add '25' to each side of the equation. -25 + 25 + -2x = -14 + 25 Combine like terms: -25 + 25 = 0 0 + -2x = -14 + 25 -2x = -14 + 25 Combine like terms: -14 + 25 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5
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