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Simplifying 8x + -7 + 5x + -10 = 10x + -12 Reorder the terms: -7 + -10 + 8x + 5x = 10x + -12 Combine like terms: -7 + -10 = -17 -17 + 8x + 5x = 10x + -12 Combine like terms: 8x + 5x = 13x -17 + 13x = 10x + -12 Reorder the terms: -17 + 13x = -12 + 10x Solving -17 + 13x = -12 + 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 + 13x + -10x = -12 + 10x + -10x Combine like terms: 13x + -10x = 3x -17 + 3x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 -17 + 3x = -12 + 0 -17 + 3x = -12 Add '17' to each side of the equation. -17 + 17 + 3x = -12 + 17 Combine like terms: -17 + 17 = 0 0 + 3x = -12 + 17 3x = -12 + 17 Combine like terms: -12 + 17 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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