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Simplifying 2(7x + -5) + -1(6x + 8) = 14 Reorder the terms: 2(-5 + 7x) + -1(6x + 8) = 14 (-5 * 2 + 7x * 2) + -1(6x + 8) = 14 (-10 + 14x) + -1(6x + 8) = 14 Reorder the terms: -10 + 14x + -1(8 + 6x) = 14 -10 + 14x + (8 * -1 + 6x * -1) = 14 -10 + 14x + (-8 + -6x) = 14 Reorder the terms: -10 + -8 + 14x + -6x = 14 Combine like terms: -10 + -8 = -18 -18 + 14x + -6x = 14 Combine like terms: 14x + -6x = 8x -18 + 8x = 14 Solving -18 + 8x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 8x = 14 + 18 Combine like terms: -18 + 18 = 0 0 + 8x = 14 + 18 8x = 14 + 18 Combine like terms: 14 + 18 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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