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Simplifying 7(1 + x) + -2(-4x + -5) = 47 (1 * 7 + x * 7) + -2(-4x + -5) = 47 (7 + 7x) + -2(-4x + -5) = 47 Reorder the terms: 7 + 7x + -2(-5 + -4x) = 47 7 + 7x + (-5 * -2 + -4x * -2) = 47 7 + 7x + (10 + 8x) = 47 Reorder the terms: 7 + 10 + 7x + 8x = 47 Combine like terms: 7 + 10 = 17 17 + 7x + 8x = 47 Combine like terms: 7x + 8x = 15x 17 + 15x = 47 Solving 17 + 15x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 15x = 47 + -17 Combine like terms: 17 + -17 = 0 0 + 15x = 47 + -17 15x = 47 + -17 Combine like terms: 47 + -17 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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