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Simplifying -14x + 2(x + -5) + 6x = 5x + -76 Reorder the terms: -14x + 2(-5 + x) + 6x = 5x + -76 -14x + (-5 * 2 + x * 2) + 6x = 5x + -76 -14x + (-10 + 2x) + 6x = 5x + -76 Reorder the terms: -10 + -14x + 2x + 6x = 5x + -76 Combine like terms: -14x + 2x = -12x -10 + -12x + 6x = 5x + -76 Combine like terms: -12x + 6x = -6x -10 + -6x = 5x + -76 Reorder the terms: -10 + -6x = -76 + 5x Solving -10 + -6x = -76 + 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. -10 + -6x + -5x = -76 + 5x + -5x Combine like terms: -6x + -5x = -11x -10 + -11x = -76 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -11x = -76 + 0 -10 + -11x = -76 Add '10' to each side of the equation. -10 + 10 + -11x = -76 + 10 Combine like terms: -10 + 10 = 0 0 + -11x = -76 + 10 -11x = -76 + 10 Combine like terms: -76 + 10 = -66 -11x = -66 Divide each side by '-11'. x = 6 Simplifying x = 6
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