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Simplifying 13x + -43 = 10x + -13 Reorder the terms: -43 + 13x = 10x + -13 Reorder the terms: -43 + 13x = -13 + 10x Solving -43 + 13x = -13 + 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. -43 + 13x + -10x = -13 + 10x + -10x Combine like terms: 13x + -10x = 3x -43 + 3x = -13 + 10x + -10x Combine like terms: 10x + -10x = 0 -43 + 3x = -13 + 0 -43 + 3x = -13 Add '43' to each side of the equation. -43 + 43 + 3x = -13 + 43 Combine like terms: -43 + 43 = 0 0 + 3x = -13 + 43 3x = -13 + 43 Combine like terms: -13 + 43 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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