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Simplifying -3x + -22 = -2(4x + 1) Reorder the terms: -22 + -3x = -2(4x + 1) Reorder the terms: -22 + -3x = -2(1 + 4x) -22 + -3x = (1 * -2 + 4x * -2) -22 + -3x = (-2 + -8x) Solving -22 + -3x = -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 + -3x + 8x = -2 + -8x + 8x Combine like terms: -3x + 8x = 5x -22 + 5x = -2 + -8x + 8x Combine like terms: -8x + 8x = 0 -22 + 5x = -2 + 0 -22 + 5x = -2 Add '22' to each side of the equation. -22 + 22 + 5x = -2 + 22 Combine like terms: -22 + 22 = 0 0 + 5x = -2 + 22 5x = -2 + 22 Combine like terms: -2 + 22 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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