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Simplifying 3x + 2 + -4(x + 1) = 5x + 22 Reorder the terms: 3x + 2 + -4(1 + x) = 5x + 22 3x + 2 + (1 * -4 + x * -4) = 5x + 22 3x + 2 + (-4 + -4x) = 5x + 22 Reorder the terms: 2 + -4 + 3x + -4x = 5x + 22 Combine like terms: 2 + -4 = -2 -2 + 3x + -4x = 5x + 22 Combine like terms: 3x + -4x = -1x -2 + -1x = 5x + 22 Reorder the terms: -2 + -1x = 22 + 5x Solving -2 + -1x = 22 + 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. -2 + -1x + -5x = 22 + 5x + -5x Combine like terms: -1x + -5x = -6x -2 + -6x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -6x = 22 + 0 -2 + -6x = 22 Add '2' to each side of the equation. -2 + 2 + -6x = 22 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 22 + 2 -6x = 22 + 2 Combine like terms: 22 + 2 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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