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Simplifying 13x + 1 = 10x + -5 Reorder the terms: 1 + 13x = 10x + -5 Reorder the terms: 1 + 13x = -5 + 10x Solving 1 + 13x = -5 + 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. 1 + 13x + -10x = -5 + 10x + -10x Combine like terms: 13x + -10x = 3x 1 + 3x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 1 + 3x = -5 + 0 1 + 3x = -5 Add '-1' to each side of the equation. 1 + -1 + 3x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = -5 + -1 3x = -5 + -1 Combine like terms: -5 + -1 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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