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Simplifying 6x + -5(4x + -2) = 14 + -6x Reorder the terms: 6x + -5(-2 + 4x) = 14 + -6x 6x + (-2 * -5 + 4x * -5) = 14 + -6x 6x + (10 + -20x) = 14 + -6x Reorder the terms: 10 + 6x + -20x = 14 + -6x Combine like terms: 6x + -20x = -14x 10 + -14x = 14 + -6x Solving 10 + -14x = 14 + -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 = 14 + -6x + 6x Combine like terms: -14x + 6x = -8x 10 + -8x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + -8x = 14 + 0 10 + -8x = 14 Add '-10' to each side of the equation. 10 + -10 + -8x = 14 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = 14 + -10 -8x = 14 + -10 Combine like terms: 14 + -10 = 4 -8x = 4 Divide each side by '-8'. x = -0.5 Simplifying x = -0.5
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