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Simplifying 3x + -5 + 8x + -12 = -6 + 10x + -15 + 2 Reorder the terms: -5 + -12 + 3x + 8x = -6 + 10x + -15 + 2 Combine like terms: -5 + -12 = -17 -17 + 3x + 8x = -6 + 10x + -15 + 2 Combine like terms: 3x + 8x = 11x -17 + 11x = -6 + 10x + -15 + 2 Reorder the terms: -17 + 11x = -6 + -15 + 2 + 10x Combine like terms: -6 + -15 = -21 -17 + 11x = -21 + 2 + 10x Combine like terms: -21 + 2 = -19 -17 + 11x = -19 + 10x Solving -17 + 11x = -19 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -17 + 11x + -10x = -19 + 10x + -10x Combine like terms: 11x + -10x = 1x -17 + 1x = -19 + 10x + -10x Combine like terms: 10x + -10x = 0 -17 + 1x = -19 + 0 -17 + 1x = -19 Add '17' to each side of the equation. -17 + 17 + 1x = -19 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = -19 + 17 1x = -19 + 17 Combine like terms: -19 + 17 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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