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Simplifying 13x + 7 = 10x + 10 Reorder the terms: 7 + 13x = 10x + 10 Reorder the terms: 7 + 13x = 10 + 10x Solving 7 + 13x = 10 + 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. 7 + 13x + -10x = 10 + 10x + -10x Combine like terms: 13x + -10x = 3x 7 + 3x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 7 + 3x = 10 + 0 7 + 3x = 10 Add '-7' to each side of the equation. 7 + -7 + 3x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 10 + -7 3x = 10 + -7 Combine like terms: 10 + -7 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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