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Simplifying -5x + -33 = -7(-5x + -1) Reorder the terms: -33 + -5x = -7(-5x + -1) Reorder the terms: -33 + -5x = -7(-1 + -5x) -33 + -5x = (-1 * -7 + -5x * -7) -33 + -5x = (7 + 35x) Solving -33 + -5x = 7 + 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. -33 + -5x + -35x = 7 + 35x + -35x Combine like terms: -5x + -35x = -40x -33 + -40x = 7 + 35x + -35x Combine like terms: 35x + -35x = 0 -33 + -40x = 7 + 0 -33 + -40x = 7 Add '33' to each side of the equation. -33 + 33 + -40x = 7 + 33 Combine like terms: -33 + 33 = 0 0 + -40x = 7 + 33 -40x = 7 + 33 Combine like terms: 7 + 33 = 40 -40x = 40 Divide each side by '-40'. x = -1 Simplifying x = -1
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