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Simplifying 6x + -42 = 21 + -1x Reorder the terms: -42 + 6x = 21 + -1x Solving -42 + 6x = 21 + -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 + 6x + x = 21 + -1x + x Combine like terms: 6x + x = 7x -42 + 7x = 21 + -1x + x Combine like terms: -1x + x = 0 -42 + 7x = 21 + 0 -42 + 7x = 21 Add '42' to each side of the equation. -42 + 42 + 7x = 21 + 42 Combine like terms: -42 + 42 = 0 0 + 7x = 21 + 42 7x = 21 + 42 Combine like terms: 21 + 42 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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