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Simplifying 13x + 10 = 2(6x + 7) Reorder the terms: 10 + 13x = 2(6x + 7) Reorder the terms: 10 + 13x = 2(7 + 6x) 10 + 13x = (7 * 2 + 6x * 2) 10 + 13x = (14 + 12x) Solving 10 + 13x = 14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 10 + 13x + -12x = 14 + 12x + -12x Combine like terms: 13x + -12x = 1x 10 + 1x = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + 1x = 14 + 0 10 + 1x = 14 Add '-10' to each side of the equation. 10 + -10 + 1x = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 14 + -10 1x = 14 + -10 Combine like terms: 14 + -10 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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