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Simplifying 13x + 8 = 10x + -7 Reorder the terms: 8 + 13x = 10x + -7 Reorder the terms: 8 + 13x = -7 + 10x Solving 8 + 13x = -7 + 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. 8 + 13x + -10x = -7 + 10x + -10x Combine like terms: 13x + -10x = 3x 8 + 3x = -7 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + 3x = -7 + 0 8 + 3x = -7 Add '-8' to each side of the equation. 8 + -8 + 3x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = -7 + -8 3x = -7 + -8 Combine like terms: -7 + -8 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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