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Simplifying 7(x + -4) + 1 = 22 Reorder the terms: 7(-4 + x) + 1 = 22 (-4 * 7 + x * 7) + 1 = 22 (-28 + 7x) + 1 = 22 Reorder the terms: -28 + 1 + 7x = 22 Combine like terms: -28 + 1 = -27 -27 + 7x = 22 Solving -27 + 7x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 7x = 22 + 27 Combine like terms: -27 + 27 = 0 0 + 7x = 22 + 27 7x = 22 + 27 Combine like terms: 22 + 27 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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