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Simplifying 10x + -7 + 3x + -5 = 2x + 5 + -1x + -3 Reorder the terms: -7 + -5 + 10x + 3x = 2x + 5 + -1x + -3 Combine like terms: -7 + -5 = -12 -12 + 10x + 3x = 2x + 5 + -1x + -3 Combine like terms: 10x + 3x = 13x -12 + 13x = 2x + 5 + -1x + -3 Reorder the terms: -12 + 13x = 5 + -3 + 2x + -1x Combine like terms: 5 + -3 = 2 -12 + 13x = 2 + 2x + -1x Combine like terms: 2x + -1x = 1x -12 + 13x = 2 + 1x Solving -12 + 13x = 2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 13x + -1x = 2 + 1x + -1x Combine like terms: 13x + -1x = 12x -12 + 12x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 -12 + 12x = 2 + 0 -12 + 12x = 2 Add '12' to each side of the equation. -12 + 12 + 12x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 2 + 12 12x = 2 + 12 Combine like terms: 2 + 12 = 14 12x = 14 Divide each side by '12'. x = 1.166666667 Simplifying x = 1.166666667
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