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Simplifying -7(5x + -9) + 4 = 35x + 67 Reorder the terms: -7(-9 + 5x) + 4 = 35x + 67 (-9 * -7 + 5x * -7) + 4 = 35x + 67 (63 + -35x) + 4 = 35x + 67 Reorder the terms: 63 + 4 + -35x = 35x + 67 Combine like terms: 63 + 4 = 67 67 + -35x = 35x + 67 Reorder the terms: 67 + -35x = 67 + 35x Add '-67' to each side of the equation. 67 + -67 + -35x = 67 + -67 + 35x Combine like terms: 67 + -67 = 0 0 + -35x = 67 + -67 + 35x -35x = 67 + -67 + 35x Combine like terms: 67 + -67 = 0 -35x = 0 + 35x -35x = 35x Solving -35x = 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -35x + -35x = 35x + -35x Combine like terms: -35x + -35x = -70x -70x = 35x + -35x Combine like terms: 35x + -35x = 0 -70x = 0 Divide each side by '-70'. x = 0.0 Simplifying x = 0.0
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