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Simplifying 2x + x + -15 = 6x + 7 + -12 Reorder the terms: -15 + 2x + x = 6x + 7 + -12 Combine like terms: 2x + x = 3x -15 + 3x = 6x + 7 + -12 Reorder the terms: -15 + 3x = 7 + -12 + 6x Combine like terms: 7 + -12 = -5 -15 + 3x = -5 + 6x Solving -15 + 3x = -5 + 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 + 3x + -6x = -5 + 6x + -6x Combine like terms: 3x + -6x = -3x -15 + -3x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -3x = -5 + 0 -15 + -3x = -5 Add '15' to each side of the equation. -15 + 15 + -3x = -5 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = -5 + 15 -3x = -5 + 15 Combine like terms: -5 + 15 = 10 -3x = 10 Divide each side by '-3'. x = -3.333333333 Simplifying x = -3.333333333
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