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Simplifying -2(2x + -7) = 3(4x + -2) Reorder the terms: -2(-7 + 2x) = 3(4x + -2) (-7 * -2 + 2x * -2) = 3(4x + -2) (14 + -4x) = 3(4x + -2) Reorder the terms: 14 + -4x = 3(-2 + 4x) 14 + -4x = (-2 * 3 + 4x * 3) 14 + -4x = (-6 + 12x) Solving 14 + -4x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 14 + -4x + -12x = -6 + 12x + -12x Combine like terms: -4x + -12x = -16x 14 + -16x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 14 + -16x = -6 + 0 14 + -16x = -6 Add '-14' to each side of the equation. 14 + -14 + -16x = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -16x = -6 + -14 -16x = -6 + -14 Combine like terms: -6 + -14 = -20 -16x = -20 Divide each side by '-16'. x = 1.25 Simplifying x = 1.25
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