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Simplifying -1x + 6 = 3x + -42 Reorder the terms: 6 + -1x = 3x + -42 Reorder the terms: 6 + -1x = -42 + 3x Solving 6 + -1x = -42 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + -1x + -3x = -42 + 3x + -3x Combine like terms: -1x + -3x = -4x 6 + -4x = -42 + 3x + -3x Combine like terms: 3x + -3x = 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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