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Simplifying (4x + -2) * 2 + (3x + 7) * 2 = 0 Reorder the terms: (-2 + 4x) * 2 + (3x + 7) * 2 = 0 Reorder the terms for easier multiplication: 2(-2 + 4x) + (3x + 7) * 2 = 0 (-2 * 2 + 4x * 2) + (3x + 7) * 2 = 0 (-4 + 8x) + (3x + 7) * 2 = 0 Reorder the terms: -4 + 8x + (7 + 3x) * 2 = 0 Reorder the terms for easier multiplication: -4 + 8x + 2(7 + 3x) = 0 -4 + 8x + (7 * 2 + 3x * 2) = 0 -4 + 8x + (14 + 6x) = 0 Reorder the terms: -4 + 14 + 8x + 6x = 0 Combine like terms: -4 + 14 = 10 10 + 8x + 6x = 0 Combine like terms: 8x + 6x = 14x 10 + 14x = 0 Solving 10 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 14x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 14x = 0 + -10 14x = 0 + -10 Combine like terms: 0 + -10 = -10 14x = -10 Divide each side by '14'. x = -0.7142857143 Simplifying x = -0.7142857143
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