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Simplifying -3(x + 2) + -42 = 5 + -38 Reorder the terms: -3(2 + x) + -42 = 5 + -38 (2 * -3 + x * -3) + -42 = 5 + -38 (-6 + -3x) + -42 = 5 + -38 Reorder the terms: -6 + -42 + -3x = 5 + -38 Combine like terms: -6 + -42 = -48 -48 + -3x = 5 + -38 Combine like terms: 5 + -38 = -33 -48 + -3x = -33 Solving -48 + -3x = -33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -3x = -33 + 48 Combine like terms: -48 + 48 = 0 0 + -3x = -33 + 48 -3x = -33 + 48 Combine like terms: -33 + 48 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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