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Simplifying -7(x + 9) + -43 = 2 + -52 Reorder the terms: -7(9 + x) + -43 = 2 + -52 (9 * -7 + x * -7) + -43 = 2 + -52 (-63 + -7x) + -43 = 2 + -52 Reorder the terms: -63 + -43 + -7x = 2 + -52 Combine like terms: -63 + -43 = -106 -106 + -7x = 2 + -52 Combine like terms: 2 + -52 = -50 -106 + -7x = -50 Solving -106 + -7x = -50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '106' to each side of the equation. -106 + 106 + -7x = -50 + 106 Combine like terms: -106 + 106 = 0 0 + -7x = -50 + 106 -7x = -50 + 106 Combine like terms: -50 + 106 = 56 -7x = 56 Divide each side by '-7'. x = -8 Simplifying x = -8
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