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Simplifying 8(2x + 4) = 7(3x + 6) + 5 Reorder the terms: 8(4 + 2x) = 7(3x + 6) + 5 (4 * 8 + 2x * 8) = 7(3x + 6) + 5 (32 + 16x) = 7(3x + 6) + 5 Reorder the terms: 32 + 16x = 7(6 + 3x) + 5 32 + 16x = (6 * 7 + 3x * 7) + 5 32 + 16x = (42 + 21x) + 5 Reorder the terms: 32 + 16x = 42 + 5 + 21x Combine like terms: 42 + 5 = 47 32 + 16x = 47 + 21x Solving 32 + 16x = 47 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 32 + 16x + -21x = 47 + 21x + -21x Combine like terms: 16x + -21x = -5x 32 + -5x = 47 + 21x + -21x Combine like terms: 21x + -21x = 0 32 + -5x = 47 + 0 32 + -5x = 47 Add '-32' to each side of the equation. 32 + -32 + -5x = 47 + -32 Combine like terms: 32 + -32 = 0 0 + -5x = 47 + -32 -5x = 47 + -32 Combine like terms: 47 + -32 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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