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Simplifying -3x + 6 = x + 42 Reorder the terms: 6 + -3x = x + 42 Reorder the terms: 6 + -3x = 42 + x Solving 6 + -3x = 42 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + -3x + -1x = 42 + x + -1x Combine like terms: -3x + -1x = -4x 6 + -4x = 42 + x + -1x Combine like terms: x + -1x = 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 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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