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Simplifying (5x + 3) * 2 + -2(3x + -5) = 0 Reorder the terms: (3 + 5x) * 2 + -2(3x + -5) = 0 Reorder the terms for easier multiplication: 2(3 + 5x) + -2(3x + -5) = 0 (3 * 2 + 5x * 2) + -2(3x + -5) = 0 (6 + 10x) + -2(3x + -5) = 0 Reorder the terms: 6 + 10x + -2(-5 + 3x) = 0 6 + 10x + (-5 * -2 + 3x * -2) = 0 6 + 10x + (10 + -6x) = 0 Reorder the terms: 6 + 10 + 10x + -6x = 0 Combine like terms: 6 + 10 = 16 16 + 10x + -6x = 0 Combine like terms: 10x + -6x = 4x 16 + 4x = 0 Solving 16 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 4x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = 0 + -16 4x = 0 + -16 Combine like terms: 0 + -16 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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