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Simplifying -4x + 3 + -3(x + 1) = 4x + 22 Reorder the terms: -4x + 3 + -3(1 + x) = 4x + 22 -4x + 3 + (1 * -3 + x * -3) = 4x + 22 -4x + 3 + (-3 + -3x) = 4x + 22 Reorder the terms: 3 + -3 + -4x + -3x = 4x + 22 Combine like terms: 3 + -3 = 0 0 + -4x + -3x = 4x + 22 -4x + -3x = 4x + 22 Combine like terms: -4x + -3x = -7x -7x = 4x + 22 Reorder the terms: -7x = 22 + 4x Solving -7x = 22 + 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. -7x + -4x = 22 + 4x + -4x Combine like terms: -7x + -4x = -11x -11x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 -11x = 22 + 0 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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