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