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Simplifying 5(2 + -1x) + 6x = 2(5 + -7x) (2 * 5 + -1x * 5) + 6x = 2(5 + -7x) (10 + -5x) + 6x = 2(5 + -7x) Combine like terms: -5x + 6x = 1x 10 + 1x = 2(5 + -7x) 10 + 1x = (5 * 2 + -7x * 2) 10 + 1x = (10 + -14x) Add '-10' to each side of the equation. 10 + -10 + 1x = 10 + -10 + -14x Combine like terms: 10 + -10 = 0 0 + 1x = 10 + -10 + -14x 1x = 10 + -10 + -14x Combine like terms: 10 + -10 = 0 1x = 0 + -14x 1x = -14x Solving 1x = -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. 1x + 14x = -14x + 14x Combine like terms: 1x + 14x = 15x 15x = -14x + 14x Combine like terms: -14x + 14x = 0 15x = 0 Divide each side by '15'. x = 0 Simplifying x = 0
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