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Simplifying 7(x + 4) + 3(5 + -1x) = 47 Reorder the terms: 7(4 + x) + 3(5 + -1x) = 47 (4 * 7 + x * 7) + 3(5 + -1x) = 47 (28 + 7x) + 3(5 + -1x) = 47 28 + 7x + (5 * 3 + -1x * 3) = 47 28 + 7x + (15 + -3x) = 47 Reorder the terms: 28 + 15 + 7x + -3x = 47 Combine like terms: 28 + 15 = 43 43 + 7x + -3x = 47 Combine like terms: 7x + -3x = 4x 43 + 4x = 47 Solving 43 + 4x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 4x = 47 + -43 Combine like terms: 43 + -43 = 0 0 + 4x = 47 + -43 4x = 47 + -43 Combine like terms: 47 + -43 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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