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Simplifying 7(4x + 7) + -4(5x + 10) = 0 Reorder the terms: 7(7 + 4x) + -4(5x + 10) = 0 (7 * 7 + 4x * 7) + -4(5x + 10) = 0 (49 + 28x) + -4(5x + 10) = 0 Reorder the terms: 49 + 28x + -4(10 + 5x) = 0 49 + 28x + (10 * -4 + 5x * -4) = 0 49 + 28x + (-40 + -20x) = 0 Reorder the terms: 49 + -40 + 28x + -20x = 0 Combine like terms: 49 + -40 = 9 9 + 28x + -20x = 0 Combine like terms: 28x + -20x = 8x 9 + 8x = 0 Solving 9 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 0 + -9 8x = 0 + -9 Combine like terms: 0 + -9 = -9 8x = -9 Divide each side by '8'. x = -1.125 Simplifying x = -1.125
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