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Simplifying 3(x + -1) + 4(x + 1) = 22 Reorder the terms: 3(-1 + x) + 4(x + 1) = 22 (-1 * 3 + x * 3) + 4(x + 1) = 22 (-3 + 3x) + 4(x + 1) = 22 Reorder the terms: -3 + 3x + 4(1 + x) = 22 -3 + 3x + (1 * 4 + x * 4) = 22 -3 + 3x + (4 + 4x) = 22 Reorder the terms: -3 + 4 + 3x + 4x = 22 Combine like terms: -3 + 4 = 1 1 + 3x + 4x = 22 Combine like terms: 3x + 4x = 7x 1 + 7x = 22 Solving 1 + 7x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7x = 22 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 22 + -1 7x = 22 + -1 Combine like terms: 22 + -1 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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