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Simplifying -3x + 51 = -7x + -33 Reorder the terms: 51 + -3x = -7x + -33 Reorder the terms: 51 + -3x = -33 + -7x Solving 51 + -3x = -33 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 51 + -3x + 7x = -33 + -7x + 7x Combine like terms: -3x + 7x = 4x 51 + 4x = -33 + -7x + 7x Combine like terms: -7x + 7x = 0 51 + 4x = -33 + 0 51 + 4x = -33 Add '-51' to each side of the equation. 51 + -51 + 4x = -33 + -51 Combine like terms: 51 + -51 = 0 0 + 4x = -33 + -51 4x = -33 + -51 Combine like terms: -33 + -51 = -84 4x = -84 Divide each side by '4'. x = -21 Simplifying x = -21
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