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Simplifying 6x + -12 + 2x = 3x + 8x + -15 Reorder the terms: -12 + 6x + 2x = 3x + 8x + -15 Combine like terms: 6x + 2x = 8x -12 + 8x = 3x + 8x + -15 Reorder the terms: -12 + 8x = -15 + 3x + 8x Combine like terms: 3x + 8x = 11x -12 + 8x = -15 + 11x Solving -12 + 8x = -15 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -12 + 8x + -11x = -15 + 11x + -11x Combine like terms: 8x + -11x = -3x -12 + -3x = -15 + 11x + -11x Combine like terms: 11x + -11x = 0 -12 + -3x = -15 + 0 -12 + -3x = -15 Add '12' to each side of the equation. -12 + 12 + -3x = -15 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = -15 + 12 -3x = -15 + 12 Combine like terms: -15 + 12 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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