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Simplifying 8x + 13 + 2x + 12 = 6x + 21 Reorder the terms: 13 + 12 + 8x + 2x = 6x + 21 Combine like terms: 13 + 12 = 25 25 + 8x + 2x = 6x + 21 Combine like terms: 8x + 2x = 10x 25 + 10x = 6x + 21 Reorder the terms: 25 + 10x = 21 + 6x Solving 25 + 10x = 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. 25 + 10x + -6x = 21 + 6x + -6x Combine like terms: 10x + -6x = 4x 25 + 4x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 25 + 4x = 21 + 0 25 + 4x = 21 Add '-25' to each side of the equation. 25 + -25 + 4x = 21 + -25 Combine like terms: 25 + -25 = 0 0 + 4x = 21 + -25 4x = 21 + -25 Combine like terms: 21 + -25 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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