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Simplifying (5x + 3) * 2 + -2(6x + 10) = 0 Reorder the terms: (3 + 5x) * 2 + -2(6x + 10) = 0 Reorder the terms for easier multiplication: 2(3 + 5x) + -2(6x + 10) = 0 (3 * 2 + 5x * 2) + -2(6x + 10) = 0 (6 + 10x) + -2(6x + 10) = 0 Reorder the terms: 6 + 10x + -2(10 + 6x) = 0 6 + 10x + (10 * -2 + 6x * -2) = 0 6 + 10x + (-20 + -12x) = 0 Reorder the terms: 6 + -20 + 10x + -12x = 0 Combine like terms: 6 + -20 = -14 -14 + 10x + -12x = 0 Combine like terms: 10x + -12x = -2x -14 + -2x = 0 Solving -14 + -2x = 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 + -2x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = 0 + 14 -2x = 0 + 14 Combine like terms: 0 + 14 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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