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Simplifying -7(x + 4) + -15 = 12 + 1 Reorder the terms: -7(4 + x) + -15 = 12 + 1 (4 * -7 + x * -7) + -15 = 12 + 1 (-28 + -7x) + -15 = 12 + 1 Reorder the terms: -28 + -15 + -7x = 12 + 1 Combine like terms: -28 + -15 = -43 -43 + -7x = 12 + 1 Combine like terms: 12 + 1 = 13 -43 + -7x = 13 Solving -43 + -7x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -7x = 13 + 43 Combine like terms: -43 + 43 = 0 0 + -7x = 13 + 43 -7x = 13 + 43 Combine like terms: 13 + 43 = 56 -7x = 56 Divide each side by '-7'. x = -8 Simplifying x = -8
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