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Simplifying -3(x + 6) + -45 = 4 + -52 Reorder the terms: -3(6 + x) + -45 = 4 + -52 (6 * -3 + x * -3) + -45 = 4 + -52 (-18 + -3x) + -45 = 4 + -52 Reorder the terms: -18 + -45 + -3x = 4 + -52 Combine like terms: -18 + -45 = -63 -63 + -3x = 4 + -52 Combine like terms: 4 + -52 = -48 -63 + -3x = -48 Solving -63 + -3x = -48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + -3x = -48 + 63 Combine like terms: -63 + 63 = 0 0 + -3x = -48 + 63 -3x = -48 + 63 Combine like terms: -48 + 63 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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