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Simplifying 7(3x + 4) = 4(x + 5) Reorder the terms: 7(4 + 3x) = 4(x + 5) (4 * 7 + 3x * 7) = 4(x + 5) (28 + 21x) = 4(x + 5) Reorder the terms: 28 + 21x = 4(5 + x) 28 + 21x = (5 * 4 + x * 4) 28 + 21x = (20 + 4x) Solving 28 + 21x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 28 + 21x + -4x = 20 + 4x + -4x Combine like terms: 21x + -4x = 17x 28 + 17x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 28 + 17x = 20 + 0 28 + 17x = 20 Add '-28' to each side of the equation. 28 + -28 + 17x = 20 + -28 Combine like terms: 28 + -28 = 0 0 + 17x = 20 + -28 17x = 20 + -28 Combine like terms: 20 + -28 = -8 17x = -8 Divide each side by '17'. x = -0.4705882353 Simplifying x = -0.4705882353
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