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Simplifying -2(x + 4) = 35 + -1(7 + -4x) Reorder the terms: -2(4 + x) = 35 + -1(7 + -4x) (4 * -2 + x * -2) = 35 + -1(7 + -4x) (-8 + -2x) = 35 + -1(7 + -4x) -8 + -2x = 35 + (7 * -1 + -4x * -1) -8 + -2x = 35 + (-7 + 4x) Combine like terms: 35 + -7 = 28 -8 + -2x = 28 + 4x Solving -8 + -2x = 28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + -2x + -4x = 28 + 4x + -4x Combine like terms: -2x + -4x = -6x -8 + -6x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -6x = 28 + 0 -8 + -6x = 28 Add '8' to each side of the equation. -8 + 8 + -6x = 28 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = 28 + 8 -6x = 28 + 8 Combine like terms: 28 + 8 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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