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Simplifying x + 22 = 1 + -3(x + -11) Reorder the terms: 22 + x = 1 + -3(x + -11) Reorder the terms: 22 + x = 1 + -3(-11 + x) 22 + x = 1 + (-11 * -3 + x * -3) 22 + x = 1 + (33 + -3x) Combine like terms: 1 + 33 = 34 22 + x = 34 + -3x Solving 22 + x = 34 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 22 + x + 3x = 34 + -3x + 3x Combine like terms: x + 3x = 4x 22 + 4x = 34 + -3x + 3x Combine like terms: -3x + 3x = 0 22 + 4x = 34 + 0 22 + 4x = 34 Add '-22' to each side of the equation. 22 + -22 + 4x = 34 + -22 Combine like terms: 22 + -22 = 0 0 + 4x = 34 + -22 4x = 34 + -22 Combine like terms: 34 + -22 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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