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Simplifying x + 6 = 5x + -42 Reorder the terms: 6 + x = 5x + -42 Reorder the terms: 6 + x = -42 + 5x Solving 6 + x = -42 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + x + -5x = -42 + 5x + -5x Combine like terms: x + -5x = -4x 6 + -4x = -42 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -4x = -42 + 0 6 + -4x = -42 Add '-6' to each side of the equation. 6 + -6 + -4x = -42 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -42 + -6 -4x = -42 + -6 Combine like terms: -42 + -6 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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