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Simplifying 7(3x + 4) = 8(x + 2) + -11 Reorder the terms: 7(4 + 3x) = 8(x + 2) + -11 (4 * 7 + 3x * 7) = 8(x + 2) + -11 (28 + 21x) = 8(x + 2) + -11 Reorder the terms: 28 + 21x = 8(2 + x) + -11 28 + 21x = (2 * 8 + x * 8) + -11 28 + 21x = (16 + 8x) + -11 Reorder the terms: 28 + 21x = 16 + -11 + 8x Combine like terms: 16 + -11 = 5 28 + 21x = 5 + 8x Solving 28 + 21x = 5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 28 + 21x + -8x = 5 + 8x + -8x Combine like terms: 21x + -8x = 13x 28 + 13x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 28 + 13x = 5 + 0 28 + 13x = 5 Add '-28' to each side of the equation. 28 + -28 + 13x = 5 + -28 Combine like terms: 28 + -28 = 0 0 + 13x = 5 + -28 13x = 5 + -28 Combine like terms: 5 + -28 = -23 13x = -23 Divide each side by '13'. x = -1.769230769 Simplifying x = -1.769230769
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