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Simplifying 5x + -22 = 2(4x + 1) Reorder the terms: -22 + 5x = 2(4x + 1) Reorder the terms: -22 + 5x = 2(1 + 4x) -22 + 5x = (1 * 2 + 4x * 2) -22 + 5x = (2 + 8x) Solving -22 + 5x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -22 + 5x + -8x = 2 + 8x + -8x Combine like terms: 5x + -8x = -3x -22 + -3x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -22 + -3x = 2 + 0 -22 + -3x = 2 Add '22' to each side of the equation. -22 + 22 + -3x = 2 + 22 Combine like terms: -22 + 22 = 0 0 + -3x = 2 + 22 -3x = 2 + 22 Combine like terms: 2 + 22 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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