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Simplifying 4(x + 4) + -1(7x + -9) = 0 Reorder the terms: 4(4 + x) + -1(7x + -9) = 0 (4 * 4 + x * 4) + -1(7x + -9) = 0 (16 + 4x) + -1(7x + -9) = 0 Reorder the terms: 16 + 4x + -1(-9 + 7x) = 0 16 + 4x + (-9 * -1 + 7x * -1) = 0 16 + 4x + (9 + -7x) = 0 Reorder the terms: 16 + 9 + 4x + -7x = 0 Combine like terms: 16 + 9 = 25 25 + 4x + -7x = 0 Combine like terms: 4x + -7x = -3x 25 + -3x = 0 Solving 25 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -3x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -3x = 0 + -25 -3x = 0 + -25 Combine like terms: 0 + -25 = -25 -3x = -25 Divide each side by '-3'. x = 8.333333333 Simplifying x = 8.333333333
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