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Simplifying -2(x + 2) = 4 + -1(5x + -7) Reorder the terms: -2(2 + x) = 4 + -1(5x + -7) (2 * -2 + x * -2) = 4 + -1(5x + -7) (-4 + -2x) = 4 + -1(5x + -7) Reorder the terms: -4 + -2x = 4 + -1(-7 + 5x) -4 + -2x = 4 + (-7 * -1 + 5x * -1) -4 + -2x = 4 + (7 + -5x) Combine like terms: 4 + 7 = 11 -4 + -2x = 11 + -5x Solving -4 + -2x = 11 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -4 + -2x + 5x = 11 + -5x + 5x Combine like terms: -2x + 5x = 3x -4 + 3x = 11 + -5x + 5x Combine like terms: -5x + 5x = 0 -4 + 3x = 11 + 0 -4 + 3x = 11 Add '4' to each side of the equation. -4 + 4 + 3x = 11 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 11 + 4 3x = 11 + 4 Combine like terms: 11 + 4 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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