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Simplifying -5(x + 8) + -42 = 1 + -53 Reorder the terms: -5(8 + x) + -42 = 1 + -53 (8 * -5 + x * -5) + -42 = 1 + -53 (-40 + -5x) + -42 = 1 + -53 Reorder the terms: -40 + -42 + -5x = 1 + -53 Combine like terms: -40 + -42 = -82 -82 + -5x = 1 + -53 Combine like terms: 1 + -53 = -52 -82 + -5x = -52 Solving -82 + -5x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '82' to each side of the equation. -82 + 82 + -5x = -52 + 82 Combine like terms: -82 + 82 = 0 0 + -5x = -52 + 82 -5x = -52 + 82 Combine like terms: -52 + 82 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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