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Simplifying 3 + 4(5 + -7x) = 5(2x + 5) + -2 3 + (5 * 4 + -7x * 4) = 5(2x + 5) + -2 3 + (20 + -28x) = 5(2x + 5) + -2 Combine like terms: 3 + 20 = 23 23 + -28x = 5(2x + 5) + -2 Reorder the terms: 23 + -28x = 5(5 + 2x) + -2 23 + -28x = (5 * 5 + 2x * 5) + -2 23 + -28x = (25 + 10x) + -2 Reorder the terms: 23 + -28x = 25 + -2 + 10x Combine like terms: 25 + -2 = 23 23 + -28x = 23 + 10x Add '-23' to each side of the equation. 23 + -23 + -28x = 23 + -23 + 10x Combine like terms: 23 + -23 = 0 0 + -28x = 23 + -23 + 10x -28x = 23 + -23 + 10x Combine like terms: 23 + -23 = 0 -28x = 0 + 10x -28x = 10x Solving -28x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -28x + -10x = 10x + -10x Combine like terms: -28x + -10x = -38x -38x = 10x + -10x Combine like terms: 10x + -10x = 0 -38x = 0 Divide each side by '-38'. x = 0 Simplifying x = 0
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