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Simplifying 2(x + 4) = 7(2x + -3) Reorder the terms: 2(4 + x) = 7(2x + -3) (4 * 2 + x * 2) = 7(2x + -3) (8 + 2x) = 7(2x + -3) Reorder the terms: 8 + 2x = 7(-3 + 2x) 8 + 2x = (-3 * 7 + 2x * 7) 8 + 2x = (-21 + 14x) Solving 8 + 2x = -21 + 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. 8 + 2x + -14x = -21 + 14x + -14x Combine like terms: 2x + -14x = -12x 8 + -12x = -21 + 14x + -14x Combine like terms: 14x + -14x = 0 8 + -12x = -21 + 0 8 + -12x = -21 Add '-8' to each side of the equation. 8 + -8 + -12x = -21 + -8 Combine like terms: 8 + -8 = 0 0 + -12x = -21 + -8 -12x = -21 + -8 Combine like terms: -21 + -8 = -29 -12x = -29 Divide each side by '-12'. x = 2.416666667 Simplifying x = 2.416666667
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