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Simplifying 2x + 6 = -1x + 21 Reorder the terms: 6 + 2x = -1x + 21 Reorder the terms: 6 + 2x = 21 + -1x Solving 6 + 2x = 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. 6 + 2x + x = 21 + -1x + x Combine like terms: 2x + x = 3x 6 + 3x = 21 + -1x + x Combine like terms: -1x + x = 0 6 + 3x = 21 + 0 6 + 3x = 21 Add '-6' to each side of the equation. 6 + -6 + 3x = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 21 + -6 3x = 21 + -6 Combine like terms: 21 + -6 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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