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Simplifying -5x + -42 = -1x + 78 Reorder the terms: -42 + -5x = -1x + 78 Reorder the terms: -42 + -5x = 78 + -1x Solving -42 + -5x = 78 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -42 + -5x + x = 78 + -1x + x Combine like terms: -5x + x = -4x -42 + -4x = 78 + -1x + x Combine like terms: -1x + x = 0 -42 + -4x = 78 + 0 -42 + -4x = 78 Add '42' to each side of the equation. -42 + 42 + -4x = 78 + 42 Combine like terms: -42 + 42 = 0 0 + -4x = 78 + 42 -4x = 78 + 42 Combine like terms: 78 + 42 = 120 -4x = 120 Divide each side by '-4'. x = -30 Simplifying x = -30
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