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Simplifying 12 + -8x + -6 = -13x + 21 Reorder the terms: 12 + -6 + -8x = -13x + 21 Combine like terms: 12 + -6 = 6 6 + -8x = -13x + 21 Reorder the terms: 6 + -8x = 21 + -13x Solving 6 + -8x = 21 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 6 + -8x + 13x = 21 + -13x + 13x Combine like terms: -8x + 13x = 5x 6 + 5x = 21 + -13x + 13x Combine like terms: -13x + 13x = 0 6 + 5x = 21 + 0 6 + 5x = 21 Add '-6' to each side of the equation. 6 + -6 + 5x = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 21 + -6 5x = 21 + -6 Combine like terms: 21 + -6 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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