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Simplifying 13x + -13 = 7x + -7(3x + -3) Reorder the terms: -13 + 13x = 7x + -7(3x + -3) Reorder the terms: -13 + 13x = 7x + -7(-3 + 3x) -13 + 13x = 7x + (-3 * -7 + 3x * -7) -13 + 13x = 7x + (21 + -21x) Reorder the terms: -13 + 13x = 21 + 7x + -21x Combine like terms: 7x + -21x = -14x -13 + 13x = 21 + -14x Solving -13 + 13x = 21 + -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. -13 + 13x + 14x = 21 + -14x + 14x Combine like terms: 13x + 14x = 27x -13 + 27x = 21 + -14x + 14x Combine like terms: -14x + 14x = 0 -13 + 27x = 21 + 0 -13 + 27x = 21 Add '13' to each side of the equation. -13 + 13 + 27x = 21 + 13 Combine like terms: -13 + 13 = 0 0 + 27x = 21 + 13 27x = 21 + 13 Combine like terms: 21 + 13 = 34 27x = 34 Divide each side by '27'. x = 1.259259259 Simplifying x = 1.259259259
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