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Simplifying 5x + -33 = -6(-7 + -5x) Reorder the terms: -33 + 5x = -6(-7 + -5x) -33 + 5x = (-7 * -6 + -5x * -6) -33 + 5x = (42 + 30x) Solving -33 + 5x = 42 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -33 + 5x + -30x = 42 + 30x + -30x Combine like terms: 5x + -30x = -25x -33 + -25x = 42 + 30x + -30x Combine like terms: 30x + -30x = 0 -33 + -25x = 42 + 0 -33 + -25x = 42 Add '33' to each side of the equation. -33 + 33 + -25x = 42 + 33 Combine like terms: -33 + 33 = 0 0 + -25x = 42 + 33 -25x = 42 + 33 Combine like terms: 42 + 33 = 75 -25x = 75 Divide each side by '-25'. x = -3 Simplifying x = -3
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