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Simplifying 5(2x + 3) + -3(2x + -5) = 0 Reorder the terms: 5(3 + 2x) + -3(2x + -5) = 0 (3 * 5 + 2x * 5) + -3(2x + -5) = 0 (15 + 10x) + -3(2x + -5) = 0 Reorder the terms: 15 + 10x + -3(-5 + 2x) = 0 15 + 10x + (-5 * -3 + 2x * -3) = 0 15 + 10x + (15 + -6x) = 0 Reorder the terms: 15 + 15 + 10x + -6x = 0 Combine like terms: 15 + 15 = 30 30 + 10x + -6x = 0 Combine like terms: 10x + -6x = 4x 30 + 4x = 0 Solving 30 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 4x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 0 + -30 4x = 0 + -30 Combine like terms: 0 + -30 = -30 4x = -30 Divide each side by '4'. x = -7.5 Simplifying x = -7.5
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