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Simplifying 5 + -1(8 + -4x) = 2(x + -7) 5 + (8 * -1 + -4x * -1) = 2(x + -7) 5 + (-8 + 4x) = 2(x + -7) Combine like terms: 5 + -8 = -3 -3 + 4x = 2(x + -7) Reorder the terms: -3 + 4x = 2(-7 + x) -3 + 4x = (-7 * 2 + x * 2) -3 + 4x = (-14 + 2x) Solving -3 + 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. -3 + 4x + -2x = -14 + 2x + -2x Combine like terms: 4x + -2x = 2x -3 + 2x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 2x = -14 + 0 -3 + 2x = -14 Add '3' to each side of the equation. -3 + 3 + 2x = -14 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = -14 + 3 2x = -14 + 3 Combine like terms: -14 + 3 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5
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