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Simplifying -1(-8x + 4) + 5x = 2(2x + 5) + 22 Reorder the terms: -1(4 + -8x) + 5x = 2(2x + 5) + 22 (4 * -1 + -8x * -1) + 5x = 2(2x + 5) + 22 (-4 + 8x) + 5x = 2(2x + 5) + 22 Combine like terms: 8x + 5x = 13x -4 + 13x = 2(2x + 5) + 22 Reorder the terms: -4 + 13x = 2(5 + 2x) + 22 -4 + 13x = (5 * 2 + 2x * 2) + 22 -4 + 13x = (10 + 4x) + 22 Reorder the terms: -4 + 13x = 10 + 22 + 4x Combine like terms: 10 + 22 = 32 -4 + 13x = 32 + 4x Solving -4 + 13x = 32 + 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. -4 + 13x + -4x = 32 + 4x + -4x Combine like terms: 13x + -4x = 9x -4 + 9x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 9x = 32 + 0 -4 + 9x = 32 Add '4' to each side of the equation. -4 + 4 + 9x = 32 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = 32 + 4 9x = 32 + 4 Combine like terms: 32 + 4 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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