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Simplifying 5(2x + 1) + -3(x + -3) = 0 Reorder the terms: 5(1 + 2x) + -3(x + -3) = 0 (1 * 5 + 2x * 5) + -3(x + -3) = 0 (5 + 10x) + -3(x + -3) = 0 Reorder the terms: 5 + 10x + -3(-3 + x) = 0 5 + 10x + (-3 * -3 + x * -3) = 0 5 + 10x + (9 + -3x) = 0 Reorder the terms: 5 + 9 + 10x + -3x = 0 Combine like terms: 5 + 9 = 14 14 + 10x + -3x = 0 Combine like terms: 10x + -3x = 7x 14 + 7x = 0 Solving 14 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 7x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 0 + -14 7x = 0 + -14 Combine like terms: 0 + -14 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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