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Simplifying 2(7x + -5) = 6x + -2 Reorder the terms: 2(-5 + 7x) = 6x + -2 (-5 * 2 + 7x * 2) = 6x + -2 (-10 + 14x) = 6x + -2 Reorder the terms: -10 + 14x = -2 + 6x Solving -10 + 14x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10 + 14x + -6x = -2 + 6x + -6x Combine like terms: 14x + -6x = 8x -10 + 8x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + 8x = -2 + 0 -10 + 8x = -2 Add '10' to each side of the equation. -10 + 10 + 8x = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = -2 + 10 8x = -2 + 10 Combine like terms: -2 + 10 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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