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Simplifying 2(3 + -7x) = 5(3 + -1x) (3 * 2 + -7x * 2) = 5(3 + -1x) (6 + -14x) = 5(3 + -1x) 6 + -14x = (3 * 5 + -1x * 5) 6 + -14x = (15 + -5x) Solving 6 + -14x = 15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + -14x + 5x = 15 + -5x + 5x Combine like terms: -14x + 5x = -9x 6 + -9x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + -9x = 15 + 0 6 + -9x = 15 Add '-6' to each side of the equation. 6 + -6 + -9x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = 15 + -6 -9x = 15 + -6 Combine like terms: 15 + -6 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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