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Simplifying 7(3x + 4) = 6(x + 5) + 2 Reorder the terms: 7(4 + 3x) = 6(x + 5) + 2 (4 * 7 + 3x * 7) = 6(x + 5) + 2 (28 + 21x) = 6(x + 5) + 2 Reorder the terms: 28 + 21x = 6(5 + x) + 2 28 + 21x = (5 * 6 + x * 6) + 2 28 + 21x = (30 + 6x) + 2 Reorder the terms: 28 + 21x = 30 + 2 + 6x Combine like terms: 30 + 2 = 32 28 + 21x = 32 + 6x Solving 28 + 21x = 32 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 28 + 21x + -6x = 32 + 6x + -6x Combine like terms: 21x + -6x = 15x 28 + 15x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 28 + 15x = 32 + 0 28 + 15x = 32 Add '-28' to each side of the equation. 28 + -28 + 15x = 32 + -28 Combine like terms: 28 + -28 = 0 0 + 15x = 32 + -28 15x = 32 + -28 Combine like terms: 32 + -28 = 4 15x = 4 Divide each side by '15'. x = 0.2666666667 Simplifying x = 0.2666666667
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