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Simplifying 4(2x + 5) + 2(3x + -2) = 0 Reorder the terms: 4(5 + 2x) + 2(3x + -2) = 0 (5 * 4 + 2x * 4) + 2(3x + -2) = 0 (20 + 8x) + 2(3x + -2) = 0 Reorder the terms: 20 + 8x + 2(-2 + 3x) = 0 20 + 8x + (-2 * 2 + 3x * 2) = 0 20 + 8x + (-4 + 6x) = 0 Reorder the terms: 20 + -4 + 8x + 6x = 0 Combine like terms: 20 + -4 = 16 16 + 8x + 6x = 0 Combine like terms: 8x + 6x = 14x 16 + 14x = 0 Solving 16 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 14x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 14x = 0 + -16 14x = 0 + -16 Combine like terms: 0 + -16 = -16 14x = -16 Divide each side by '14'. x = -1.142857143 Simplifying x = -1.142857143
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