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Simplifying 2x + 15 + 6x = 10 + 5x + -7 Reorder the terms: 15 + 2x + 6x = 10 + 5x + -7 Combine like terms: 2x + 6x = 8x 15 + 8x = 10 + 5x + -7 Reorder the terms: 15 + 8x = 10 + -7 + 5x Combine like terms: 10 + -7 = 3 15 + 8x = 3 + 5x Solving 15 + 8x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 15 + 8x + -5x = 3 + 5x + -5x Combine like terms: 8x + -5x = 3x 15 + 3x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + 3x = 3 + 0 15 + 3x = 3 Add '-15' to each side of the equation. 15 + -15 + 3x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 3 + -15 3x = 3 + -15 Combine like terms: 3 + -15 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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