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Simplifying -3x + -7 = 2x + 33 Reorder the terms: -7 + -3x = 2x + 33 Reorder the terms: -7 + -3x = 33 + 2x Solving -7 + -3x = 33 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + -3x + -2x = 33 + 2x + -2x Combine like terms: -3x + -2x = -5x -7 + -5x = 33 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -5x = 33 + 0 -7 + -5x = 33 Add '7' to each side of the equation. -7 + 7 + -5x = 33 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 33 + 7 -5x = 33 + 7 Combine like terms: 33 + 7 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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