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Simplifying -7(x + 4) + -12 = 22 + 1 Reorder the terms: -7(4 + x) + -12 = 22 + 1 (4 * -7 + x * -7) + -12 = 22 + 1 (-28 + -7x) + -12 = 22 + 1 Reorder the terms: -28 + -12 + -7x = 22 + 1 Combine like terms: -28 + -12 = -40 -40 + -7x = 22 + 1 Combine like terms: 22 + 1 = 23 -40 + -7x = 23 Solving -40 + -7x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -7x = 23 + 40 Combine like terms: -40 + 40 = 0 0 + -7x = 23 + 40 -7x = 23 + 40 Combine like terms: 23 + 40 = 63 -7x = 63 Divide each side by '-7'. x = -9 Simplifying x = -9
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