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Simplifying 2(7x + 5 + -3x) + 4(2x + -2) = 0 Reorder the terms: 2(5 + 7x + -3x) + 4(2x + -2) = 0 Combine like terms: 7x + -3x = 4x 2(5 + 4x) + 4(2x + -2) = 0 (5 * 2 + 4x * 2) + 4(2x + -2) = 0 (10 + 8x) + 4(2x + -2) = 0 Reorder the terms: 10 + 8x + 4(-2 + 2x) = 0 10 + 8x + (-2 * 4 + 2x * 4) = 0 10 + 8x + (-8 + 8x) = 0 Reorder the terms: 10 + -8 + 8x + 8x = 0 Combine like terms: 10 + -8 = 2 2 + 8x + 8x = 0 Combine like terms: 8x + 8x = 16x 2 + 16x = 0 Solving 2 + 16x = 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 + 16x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 16x = 0 + -2 16x = 0 + -2 Combine like terms: 0 + -2 = -2 16x = -2 Divide each side by '16'. x = -0.125 Simplifying x = -0.125
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