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Simplifying 2(11x + -7) = 10(2x + -4) Reorder the terms: 2(-7 + 11x) = 10(2x + -4) (-7 * 2 + 11x * 2) = 10(2x + -4) (-14 + 22x) = 10(2x + -4) Reorder the terms: -14 + 22x = 10(-4 + 2x) -14 + 22x = (-4 * 10 + 2x * 10) -14 + 22x = (-40 + 20x) Solving -14 + 22x = -40 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -14 + 22x + -20x = -40 + 20x + -20x Combine like terms: 22x + -20x = 2x -14 + 2x = -40 + 20x + -20x Combine like terms: 20x + -20x = 0 -14 + 2x = -40 + 0 -14 + 2x = -40 Add '14' to each side of the equation. -14 + 14 + 2x = -40 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = -40 + 14 2x = -40 + 14 Combine like terms: -40 + 14 = -26 2x = -26 Divide each side by '2'. x = -13 Simplifying x = -13
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