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Simplifying -1x + 42 = 3x + 6 Reorder the terms: 42 + -1x = 3x + 6 Reorder the terms: 42 + -1x = 6 + 3x Solving 42 + -1x = 6 + 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. 42 + -1x + -3x = 6 + 3x + -3x Combine like terms: -1x + -3x = -4x 42 + -4x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + -4x = 6 + 0 42 + -4x = 6 Add '-42' to each side of the equation. 42 + -42 + -4x = 6 + -42 Combine like terms: 42 + -42 = 0 0 + -4x = 6 + -42 -4x = 6 + -42 Combine like terms: 6 + -42 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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