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Simplifying 13x + -6 = 2(5 + 7x) Reorder the terms: -6 + 13x = 2(5 + 7x) -6 + 13x = (5 * 2 + 7x * 2) -6 + 13x = (10 + 14x) Solving -6 + 13x = 10 + 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. -6 + 13x + -14x = 10 + 14x + -14x Combine like terms: 13x + -14x = -1x -6 + -1x = 10 + 14x + -14x Combine like terms: 14x + -14x = 0 -6 + -1x = 10 + 0 -6 + -1x = 10 Add '6' to each side of the equation. -6 + 6 + -1x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 10 + 6 -1x = 10 + 6 Combine like terms: 10 + 6 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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