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Simplifying -34 = -1(3x + -3) + -5(1 + -7x) Reorder the terms: -34 = -1(-3 + 3x) + -5(1 + -7x) -34 = (-3 * -1 + 3x * -1) + -5(1 + -7x) -34 = (3 + -3x) + -5(1 + -7x) -34 = 3 + -3x + (1 * -5 + -7x * -5) -34 = 3 + -3x + (-5 + 35x) Reorder the terms: -34 = 3 + -5 + -3x + 35x Combine like terms: 3 + -5 = -2 -34 = -2 + -3x + 35x Combine like terms: -3x + 35x = 32x -34 = -2 + 32x Solving -34 = -2 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -34 + -32x = -2 + 32x + -32x Combine like terms: 32x + -32x = 0 -34 + -32x = -2 + 0 -34 + -32x = -2 Add '34' to each side of the equation. -34 + 34 + -32x = -2 + 34 Combine like terms: -34 + 34 = 0 0 + -32x = -2 + 34 -32x = -2 + 34 Combine like terms: -2 + 34 = 32 -32x = 32 Divide each side by '-32'. x = -1 Simplifying x = -1
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