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Simplifying -2x + 6 = 7x + -21 Reorder the terms: 6 + -2x = 7x + -21 Reorder the terms: 6 + -2x = -21 + 7x Solving 6 + -2x = -21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + -2x + -7x = -21 + 7x + -7x Combine like terms: -2x + -7x = -9x 6 + -9x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -9x = -21 + 0 6 + -9x = -21 Add '-6' to each side of the equation. 6 + -6 + -9x = -21 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = -21 + -6 -9x = -21 + -6 Combine like terms: -21 + -6 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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