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Simplifying -6(x + 8) + -42 = 2 + -50 Reorder the terms: -6(8 + x) + -42 = 2 + -50 (8 * -6 + x * -6) + -42 = 2 + -50 (-48 + -6x) + -42 = 2 + -50 Reorder the terms: -48 + -42 + -6x = 2 + -50 Combine like terms: -48 + -42 = -90 -90 + -6x = 2 + -50 Combine like terms: 2 + -50 = -48 -90 + -6x = -48 Solving -90 + -6x = -48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + -6x = -48 + 90 Combine like terms: -90 + 90 = 0 0 + -6x = -48 + 90 -6x = -48 + 90 Combine like terms: -48 + 90 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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