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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 = -17 -17 + 28x = 5(2x + 5) + -2 Reorder the terms: -17 + 28x = 5(5 + 2x) + -2 -17 + 28x = (5 * 5 + 2x * 5) + -2 -17 + 28x = (25 + 10x) + -2 Reorder the terms: -17 + 28x = 25 + -2 + 10x Combine like terms: 25 + -2 = 23 -17 + 28x = 23 + 10x Solving -17 + 28x = 23 + 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. -17 + 28x + -10x = 23 + 10x + -10x Combine like terms: 28x + -10x = 18x -17 + 18x = 23 + 10x + -10x Combine like terms: 10x + -10x = 0 -17 + 18x = 23 + 0 -17 + 18x = 23 Add '17' to each side of the equation. -17 + 17 + 18x = 23 + 17 Combine like terms: -17 + 17 = 0 0 + 18x = 23 + 17 18x = 23 + 17 Combine like terms: 23 + 17 = 40 18x = 40 Divide each side by '18'. x = 2.222222222 Simplifying x = 2.222222222
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