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Simplifying 3x + 10x + -15 = 8x + -6x + -12 Reorder the terms: -15 + 3x + 10x = 8x + -6x + -12 Combine like terms: 3x + 10x = 13x -15 + 13x = 8x + -6x + -12 Reorder the terms: -15 + 13x = -12 + 8x + -6x Combine like terms: 8x + -6x = 2x -15 + 13x = -12 + 2x Solving -15 + 13x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 13x + -2x = -12 + 2x + -2x Combine like terms: 13x + -2x = 11x -15 + 11x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 11x = -12 + 0 -15 + 11x = -12 Add '15' to each side of the equation. -15 + 15 + 11x = -12 + 15 Combine like terms: -15 + 15 = 0 0 + 11x = -12 + 15 11x = -12 + 15 Combine like terms: -12 + 15 = 3 11x = 3 Divide each side by '11'. x = 0.2727272727 Simplifying x = 0.2727272727
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