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Simplifying 7(3x + 4) = (5x + -4) Reorder the terms: 7(4 + 3x) = (5x + -4) (4 * 7 + 3x * 7) = (5x + -4) (28 + 21x) = (5x + -4) Reorder the terms: 28 + 21x = (-4 + 5x) Remove parenthesis around (-4 + 5x) 28 + 21x = -4 + 5x Solving 28 + 21x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 28 + 21x + -5x = -4 + 5x + -5x Combine like terms: 21x + -5x = 16x 28 + 16x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 28 + 16x = -4 + 0 28 + 16x = -4 Add '-28' to each side of the equation. 28 + -28 + 16x = -4 + -28 Combine like terms: 28 + -28 = 0 0 + 16x = -4 + -28 16x = -4 + -28 Combine like terms: -4 + -28 = -32 16x = -32 Divide each side by '16'. x = -2 Simplifying x = -2
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