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Simplifying -3x + -4(-7x + -1) = 22 + 7x Reorder the terms: -3x + -4(-1 + -7x) = 22 + 7x -3x + (-1 * -4 + -7x * -4) = 22 + 7x -3x + (4 + 28x) = 22 + 7x Reorder the terms: 4 + -3x + 28x = 22 + 7x Combine like terms: -3x + 28x = 25x 4 + 25x = 22 + 7x Solving 4 + 25x = 22 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 25x + -7x = 22 + 7x + -7x Combine like terms: 25x + -7x = 18x 4 + 18x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + 18x = 22 + 0 4 + 18x = 22 Add '-4' to each side of the equation. 4 + -4 + 18x = 22 + -4 Combine like terms: 4 + -4 = 0 0 + 18x = 22 + -4 18x = 22 + -4 Combine like terms: 22 + -4 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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