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Simplifying 7(3x + 4) = 8(5x + 7) Reorder the terms: 7(4 + 3x) = 8(5x + 7) (4 * 7 + 3x * 7) = 8(5x + 7) (28 + 21x) = 8(5x + 7) Reorder the terms: 28 + 21x = 8(7 + 5x) 28 + 21x = (7 * 8 + 5x * 8) 28 + 21x = (56 + 40x) Solving 28 + 21x = 56 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 28 + 21x + -40x = 56 + 40x + -40x Combine like terms: 21x + -40x = -19x 28 + -19x = 56 + 40x + -40x Combine like terms: 40x + -40x = 0 28 + -19x = 56 + 0 28 + -19x = 56 Add '-28' to each side of the equation. 28 + -28 + -19x = 56 + -28 Combine like terms: 28 + -28 = 0 0 + -19x = 56 + -28 -19x = 56 + -28 Combine like terms: 56 + -28 = 28 -19x = 28 Divide each side by '-19'. x = -1.473684211 Simplifying x = -1.473684211
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