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Simplifying -34 + 5x = -7(1 + -5x) + 3 -34 + 5x = (1 * -7 + -5x * -7) + 3 -34 + 5x = (-7 + 35x) + 3 Reorder the terms: -34 + 5x = -7 + 3 + 35x Combine like terms: -7 + 3 = -4 -34 + 5x = -4 + 35x Solving -34 + 5x = -4 + 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. -34 + 5x + -35x = -4 + 35x + -35x Combine like terms: 5x + -35x = -30x -34 + -30x = -4 + 35x + -35x Combine like terms: 35x + -35x = 0 -34 + -30x = -4 + 0 -34 + -30x = -4 Add '34' to each side of the equation. -34 + 34 + -30x = -4 + 34 Combine like terms: -34 + 34 = 0 0 + -30x = -4 + 34 -30x = -4 + 34 Combine like terms: -4 + 34 = 30 -30x = 30 Divide each side by '-30'. x = -1 Simplifying x = -1
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