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Simplifying 2x(7 + 1) + 3(5 + -7x) = 0 Combine like terms: 7 + 1 = 8 2x(8) + 3(5 + -7x) = 0 Reorder the terms for easier multiplication: 2 * 8x + 3(5 + -7x) = 0 Multiply 2 * 8 16x + 3(5 + -7x) = 0 16x + (5 * 3 + -7x * 3) = 0 16x + (15 + -21x) = 0 Reorder the terms: 15 + 16x + -21x = 0 Combine like terms: 16x + -21x = -5x 15 + -5x = 0 Solving 15 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -5x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = 0 + -15 -5x = 0 + -15 Combine like terms: 0 + -15 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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