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Simplifying 2(3x + 8) + 2(2x + -7) = 0 Reorder the terms: 2(8 + 3x) + 2(2x + -7) = 0 (8 * 2 + 3x * 2) + 2(2x + -7) = 0 (16 + 6x) + 2(2x + -7) = 0 Reorder the terms: 16 + 6x + 2(-7 + 2x) = 0 16 + 6x + (-7 * 2 + 2x * 2) = 0 16 + 6x + (-14 + 4x) = 0 Reorder the terms: 16 + -14 + 6x + 4x = 0 Combine like terms: 16 + -14 = 2 2 + 6x + 4x = 0 Combine like terms: 6x + 4x = 10x 2 + 10x = 0 Solving 2 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 10x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 10x = 0 + -2 10x = 0 + -2 Combine like terms: 0 + -2 = -2 10x = -2 Divide each side by '10'. x = -0.2 Simplifying x = -0.2
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