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Simplifying 8(x + 7) = 5x + 47 Reorder the terms: 8(7 + x) = 5x + 47 (7 * 8 + x * 8) = 5x + 47 (56 + 8x) = 5x + 47 Reorder the terms: 56 + 8x = 47 + 5x Solving 56 + 8x = 47 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 56 + 8x + -5x = 47 + 5x + -5x Combine like terms: 8x + -5x = 3x 56 + 3x = 47 + 5x + -5x Combine like terms: 5x + -5x = 0 56 + 3x = 47 + 0 56 + 3x = 47 Add '-56' to each side of the equation. 56 + -56 + 3x = 47 + -56 Combine like terms: 56 + -56 = 0 0 + 3x = 47 + -56 3x = 47 + -56 Combine like terms: 47 + -56 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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