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Simplifying 5(8x + 4) + -2 + -7(5x + 13) + 33 = 0 Reorder the terms: 5(4 + 8x) + -2 + -7(5x + 13) + 33 = 0 (4 * 5 + 8x * 5) + -2 + -7(5x + 13) + 33 = 0 (20 + 40x) + -2 + -7(5x + 13) + 33 = 0 Reorder the terms: 20 + 40x + -2 + -7(13 + 5x) + 33 = 0 20 + 40x + -2 + (13 * -7 + 5x * -7) + 33 = 0 20 + 40x + -2 + (-91 + -35x) + 33 = 0 Reorder the terms: 20 + -2 + -91 + 33 + 40x + -35x = 0 Combine like terms: 20 + -2 = 18 18 + -91 + 33 + 40x + -35x = 0 Combine like terms: 18 + -91 = -73 -73 + 33 + 40x + -35x = 0 Combine like terms: -73 + 33 = -40 -40 + 40x + -35x = 0 Combine like terms: 40x + -35x = 5x -40 + 5x = 0 Solving -40 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 5x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 5x = 0 + 40 5x = 0 + 40 Combine like terms: 0 + 40 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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