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Simplifying 4(7 + -3x) = 7(4 + -2x) (7 * 4 + -3x * 4) = 7(4 + -2x) (28 + -12x) = 7(4 + -2x) 28 + -12x = (4 * 7 + -2x * 7) 28 + -12x = (28 + -14x) Add '-28' to each side of the equation. 28 + -28 + -12x = 28 + -28 + -14x Combine like terms: 28 + -28 = 0 0 + -12x = 28 + -28 + -14x -12x = 28 + -28 + -14x Combine like terms: 28 + -28 = 0 -12x = 0 + -14x -12x = -14x Solving -12x = -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -12x + 14x = -14x + 14x Combine like terms: -12x + 14x = 2x 2x = -14x + 14x Combine like terms: -14x + 14x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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