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Simplifying 2(5x + 3) + -2(2x + -3) = 0 Reorder the terms: 2(3 + 5x) + -2(2x + -3) = 0 (3 * 2 + 5x * 2) + -2(2x + -3) = 0 (6 + 10x) + -2(2x + -3) = 0 Reorder the terms: 6 + 10x + -2(-3 + 2x) = 0 6 + 10x + (-3 * -2 + 2x * -2) = 0 6 + 10x + (6 + -4x) = 0 Reorder the terms: 6 + 6 + 10x + -4x = 0 Combine like terms: 6 + 6 = 12 12 + 10x + -4x = 0 Combine like terms: 10x + -4x = 6x 12 + 6x = 0 Solving 12 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 0 + -12 6x = 0 + -12 Combine like terms: 0 + -12 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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