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Simplifying 4(6x + -1) + 5x + 4 = 29x + 2(3x + -9) Reorder the terms: 4(-1 + 6x) + 5x + 4 = 29x + 2(3x + -9) (-1 * 4 + 6x * 4) + 5x + 4 = 29x + 2(3x + -9) (-4 + 24x) + 5x + 4 = 29x + 2(3x + -9) Reorder the terms: -4 + 4 + 24x + 5x = 29x + 2(3x + -9) Combine like terms: -4 + 4 = 0 0 + 24x + 5x = 29x + 2(3x + -9) 24x + 5x = 29x + 2(3x + -9) Combine like terms: 24x + 5x = 29x 29x = 29x + 2(3x + -9) Reorder the terms: 29x = 29x + 2(-9 + 3x) 29x = 29x + (-9 * 2 + 3x * 2) 29x = 29x + (-18 + 6x) Reorder the terms: 29x = -18 + 29x + 6x Combine like terms: 29x + 6x = 35x 29x = -18 + 35x Solving 29x = -18 + 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. 29x + -35x = -18 + 35x + -35x Combine like terms: 29x + -35x = -6x -6x = -18 + 35x + -35x Combine like terms: 35x + -35x = 0 -6x = -18 + 0 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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