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Simplifying -1x + 7 = 6x + 21 Reorder the terms: 7 + -1x = 6x + 21 Reorder the terms: 7 + -1x = 21 + 6x Solving 7 + -1x = 21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + -1x + -6x = 21 + 6x + -6x Combine like terms: -1x + -6x = -7x 7 + -7x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -7x = 21 + 0 7 + -7x = 21 Add '-7' to each side of the equation. 7 + -7 + -7x = 21 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = 21 + -7 -7x = 21 + -7 Combine like terms: 21 + -7 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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