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Simplifying 7x + -1x + 15 + 2x = 6x + 39 Reorder the terms: 15 + 7x + -1x + 2x = 6x + 39 Combine like terms: 7x + -1x = 6x 15 + 6x + 2x = 6x + 39 Combine like terms: 6x + 2x = 8x 15 + 8x = 6x + 39 Reorder the terms: 15 + 8x = 39 + 6x Solving 15 + 8x = 39 + 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. 15 + 8x + -6x = 39 + 6x + -6x Combine like terms: 8x + -6x = 2x 15 + 2x = 39 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 2x = 39 + 0 15 + 2x = 39 Add '-15' to each side of the equation. 15 + -15 + 2x = 39 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 39 + -15 2x = 39 + -15 Combine like terms: 39 + -15 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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