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Simplifying -34 = 2(-5x + 4) + -7(6 + 5x) Reorder the terms: -34 = 2(4 + -5x) + -7(6 + 5x) -34 = (4 * 2 + -5x * 2) + -7(6 + 5x) -34 = (8 + -10x) + -7(6 + 5x) -34 = 8 + -10x + (6 * -7 + 5x * -7) -34 = 8 + -10x + (-42 + -35x) Reorder the terms: -34 = 8 + -42 + -10x + -35x Combine like terms: 8 + -42 = -34 -34 = -34 + -10x + -35x Combine like terms: -10x + -35x = -45x -34 = -34 + -45x Add '34' to each side of the equation. -34 + 34 = -34 + 34 + -45x Combine like terms: -34 + 34 = 0 0 = -34 + 34 + -45x Combine like terms: -34 + 34 = 0 0 = 0 + -45x 0 = -45x Solving 0 = -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 0 + 45x = -45x + 45x Remove the zero: 45x = -45x + 45x Combine like terms: -45x + 45x = 0 45x = 0 Divide each side by '45'. x = 0 Simplifying x = 0
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