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Simplifying 10x + -7 = 13x + 12 Reorder the terms: -7 + 10x = 13x + 12 Reorder the terms: -7 + 10x = 12 + 13x Solving -7 + 10x = 12 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -7 + 10x + -13x = 12 + 13x + -13x Combine like terms: 10x + -13x = -3x -7 + -3x = 12 + 13x + -13x Combine like terms: 13x + -13x = 0 -7 + -3x = 12 + 0 -7 + -3x = 12 Add '7' to each side of the equation. -7 + 7 + -3x = 12 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 12 + 7 -3x = 12 + 7 Combine like terms: 12 + 7 = 19 -3x = 19 Divide each side by '-3'. x = -6.333333333 Simplifying x = -6.333333333
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