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Simplifying 2(4x + -7) + 3(2x + 5) = 0 Reorder the terms: 2(-7 + 4x) + 3(2x + 5) = 0 (-7 * 2 + 4x * 2) + 3(2x + 5) = 0 (-14 + 8x) + 3(2x + 5) = 0 Reorder the terms: -14 + 8x + 3(5 + 2x) = 0 -14 + 8x + (5 * 3 + 2x * 3) = 0 -14 + 8x + (15 + 6x) = 0 Reorder the terms: -14 + 15 + 8x + 6x = 0 Combine like terms: -14 + 15 = 1 1 + 8x + 6x = 0 Combine like terms: 8x + 6x = 14x 1 + 14x = 0 Solving 1 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 14x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 14x = 0 + -1 14x = 0 + -1 Combine like terms: 0 + -1 = -1 14x = -1 Divide each side by '14'. x = -0.07142857143 Simplifying x = -0.07142857143
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