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Simplifying 7x + -5 = 10x + 13 Reorder the terms: -5 + 7x = 10x + 13 Reorder the terms: -5 + 7x = 13 + 10x Solving -5 + 7x = 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. -5 + 7x + -10x = 13 + 10x + -10x Combine like terms: 7x + -10x = -3x -5 + -3x = 13 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + -3x = 13 + 0 -5 + -3x = 13 Add '5' to each side of the equation. -5 + 5 + -3x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 13 + 5 -3x = 13 + 5 Combine like terms: 13 + 5 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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