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Simplifying 13x + 5 = 2(7x + -1) Reorder the terms: 5 + 13x = 2(7x + -1) Reorder the terms: 5 + 13x = 2(-1 + 7x) 5 + 13x = (-1 * 2 + 7x * 2) 5 + 13x = (-2 + 14x) Solving 5 + 13x = -2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 5 + 13x + -14x = -2 + 14x + -14x Combine like terms: 13x + -14x = -1x 5 + -1x = -2 + 14x + -14x Combine like terms: 14x + -14x = 0 5 + -1x = -2 + 0 5 + -1x = -2 Add '-5' to each side of the equation. 5 + -5 + -1x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -2 + -5 -1x = -2 + -5 Combine like terms: -2 + -5 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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