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Simplifying 5(2x + 1) + -3(x + -4) = 0 Reorder the terms: 5(1 + 2x) + -3(x + -4) = 0 (1 * 5 + 2x * 5) + -3(x + -4) = 0 (5 + 10x) + -3(x + -4) = 0 Reorder the terms: 5 + 10x + -3(-4 + x) = 0 5 + 10x + (-4 * -3 + x * -3) = 0 5 + 10x + (12 + -3x) = 0 Reorder the terms: 5 + 12 + 10x + -3x = 0 Combine like terms: 5 + 12 = 17 17 + 10x + -3x = 0 Combine like terms: 10x + -3x = 7x 17 + 7x = 0 Solving 17 + 7x = 0 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 + 7x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 7x = 0 + -17 7x = 0 + -17 Combine like terms: 0 + -17 = -17 7x = -17 Divide each side by '7'. x = -2.428571429 Simplifying x = -2.428571429
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