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Simplifying -22 = -3(8 + x) + 2(4x + 1) -22 = (8 * -3 + x * -3) + 2(4x + 1) -22 = (-24 + -3x) + 2(4x + 1) Reorder the terms: -22 = -24 + -3x + 2(1 + 4x) -22 = -24 + -3x + (1 * 2 + 4x * 2) -22 = -24 + -3x + (2 + 8x) Reorder the terms: -22 = -24 + 2 + -3x + 8x Combine like terms: -24 + 2 = -22 -22 = -22 + -3x + 8x Combine like terms: -3x + 8x = 5x -22 = -22 + 5x Add '22' to each side of the equation. -22 + 22 = -22 + 22 + 5x Combine like terms: -22 + 22 = 0 0 = -22 + 22 + 5x Combine like terms: -22 + 22 = 0 0 = 0 + 5x 0 = 5x Solving 0 = 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. 0 + -5x = 5x + -5x Remove the zero: -5x = 5x + -5x Combine like terms: 5x + -5x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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