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Simplifying 2(2x + 7) = -4(3 + -2x) Reorder the terms: 2(7 + 2x) = -4(3 + -2x) (7 * 2 + 2x * 2) = -4(3 + -2x) (14 + 4x) = -4(3 + -2x) 14 + 4x = (3 * -4 + -2x * -4) 14 + 4x = (-12 + 8x) Solving 14 + 4x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 14 + 4x + -8x = -12 + 8x + -8x Combine like terms: 4x + -8x = -4x 14 + -4x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + -4x = -12 + 0 14 + -4x = -12 Add '-14' to each side of the equation. 14 + -14 + -4x = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = -12 + -14 -4x = -12 + -14 Combine like terms: -12 + -14 = -26 -4x = -26 Divide each side by '-4'. x = 6.5 Simplifying x = 6.5
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