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Simplifying 6 + 5(4x + -4) = 7(3x + -2) Reorder the terms: 6 + 5(-4 + 4x) = 7(3x + -2) 6 + (-4 * 5 + 4x * 5) = 7(3x + -2) 6 + (-20 + 20x) = 7(3x + -2) Combine like terms: 6 + -20 = -14 -14 + 20x = 7(3x + -2) Reorder the terms: -14 + 20x = 7(-2 + 3x) -14 + 20x = (-2 * 7 + 3x * 7) -14 + 20x = (-14 + 21x) Add '14' to each side of the equation. -14 + 14 + 20x = -14 + 14 + 21x Combine like terms: -14 + 14 = 0 0 + 20x = -14 + 14 + 21x 20x = -14 + 14 + 21x Combine like terms: -14 + 14 = 0 20x = 0 + 21x 20x = 21x Solving 20x = 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 20x + -21x = 21x + -21x Combine like terms: 20x + -21x = -1x -1x = 21x + -21x Combine like terms: 21x + -21x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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