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Simplifying -7(2x + -7) = 3(11 + -4x) Reorder the terms: -7(-7 + 2x) = 3(11 + -4x) (-7 * -7 + 2x * -7) = 3(11 + -4x) (49 + -14x) = 3(11 + -4x) 49 + -14x = (11 * 3 + -4x * 3) 49 + -14x = (33 + -12x) Solving 49 + -14x = 33 + -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. 49 + -14x + 12x = 33 + -12x + 12x Combine like terms: -14x + 12x = -2x 49 + -2x = 33 + -12x + 12x Combine like terms: -12x + 12x = 0 49 + -2x = 33 + 0 49 + -2x = 33 Add '-49' to each side of the equation. 49 + -49 + -2x = 33 + -49 Combine like terms: 49 + -49 = 0 0 + -2x = 33 + -49 -2x = 33 + -49 Combine like terms: 33 + -49 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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