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Simplifying 4(5x + -3) + 7(x + 5) = 0 Reorder the terms: 4(-3 + 5x) + 7(x + 5) = 0 (-3 * 4 + 5x * 4) + 7(x + 5) = 0 (-12 + 20x) + 7(x + 5) = 0 Reorder the terms: -12 + 20x + 7(5 + x) = 0 -12 + 20x + (5 * 7 + x * 7) = 0 -12 + 20x + (35 + 7x) = 0 Reorder the terms: -12 + 35 + 20x + 7x = 0 Combine like terms: -12 + 35 = 23 23 + 20x + 7x = 0 Combine like terms: 20x + 7x = 27x 23 + 27x = 0 Solving 23 + 27x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 27x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 27x = 0 + -23 27x = 0 + -23 Combine like terms: 0 + -23 = -23 27x = -23 Divide each side by '27'. x = -0.8518518519 Simplifying x = -0.8518518519
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