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Simplifying -2x + -4 + -2(x + -2) = 7x + -1(5x + -7) + -9x + 5 Reorder the terms: -2x + -4 + -2(-2 + x) = 7x + -1(5x + -7) + -9x + 5 -2x + -4 + (-2 * -2 + x * -2) = 7x + -1(5x + -7) + -9x + 5 -2x + -4 + (4 + -2x) = 7x + -1(5x + -7) + -9x + 5 Reorder the terms: -4 + 4 + -2x + -2x = 7x + -1(5x + -7) + -9x + 5 Combine like terms: -4 + 4 = 0 0 + -2x + -2x = 7x + -1(5x + -7) + -9x + 5 -2x + -2x = 7x + -1(5x + -7) + -9x + 5 Combine like terms: -2x + -2x = -4x -4x = 7x + -1(5x + -7) + -9x + 5 Reorder the terms: -4x = 7x + -1(-7 + 5x) + -9x + 5 -4x = 7x + (-7 * -1 + 5x * -1) + -9x + 5 -4x = 7x + (7 + -5x) + -9x + 5 Reorder the terms: -4x = 7 + 5 + 7x + -5x + -9x Combine like terms: 7 + 5 = 12 -4x = 12 + 7x + -5x + -9x Combine like terms: 7x + -5x = 2x -4x = 12 + 2x + -9x Combine like terms: 2x + -9x = -7x -4x = 12 + -7x Solving -4x = 12 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -4x + 7x = 12 + -7x + 7x Combine like terms: -4x + 7x = 3x 3x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 3x = 12 + 0 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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