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Simplifying -3(x + 8) + -45 = 4 + -52 Reorder the terms: -3(8 + x) + -45 = 4 + -52 (8 * -3 + x * -3) + -45 = 4 + -52 (-24 + -3x) + -45 = 4 + -52 Reorder the terms: -24 + -45 + -3x = 4 + -52 Combine like terms: -24 + -45 = -69 -69 + -3x = 4 + -52 Combine like terms: 4 + -52 = -48 -69 + -3x = -48 Solving -69 + -3x = -48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '69' to each side of the equation. -69 + 69 + -3x = -48 + 69 Combine like terms: -69 + 69 = 0 0 + -3x = -48 + 69 -3x = -48 + 69 Combine like terms: -48 + 69 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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