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Simplifying 2x + -7(4x + -3) = 7 + -14x Reorder the terms: 2x + -7(-3 + 4x) = 7 + -14x 2x + (-3 * -7 + 4x * -7) = 7 + -14x 2x + (21 + -28x) = 7 + -14x Reorder the terms: 21 + 2x + -28x = 7 + -14x Combine like terms: 2x + -28x = -26x 21 + -26x = 7 + -14x Solving 21 + -26x = 7 + -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. 21 + -26x + 14x = 7 + -14x + 14x Combine like terms: -26x + 14x = -12x 21 + -12x = 7 + -14x + 14x Combine like terms: -14x + 14x = 0 21 + -12x = 7 + 0 21 + -12x = 7 Add '-21' to each side of the equation. 21 + -21 + -12x = 7 + -21 Combine like terms: 21 + -21 = 0 0 + -12x = 7 + -21 -12x = 7 + -21 Combine like terms: 7 + -21 = -14 -12x = -14 Divide each side by '-12'. x = 1.166666667 Simplifying x = 1.166666667
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