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Simplifying 51x + 42 = -84 + -33x Reorder the terms: 42 + 51x = -84 + -33x Solving 42 + 51x = -84 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. 42 + 51x + 33x = -84 + -33x + 33x Combine like terms: 51x + 33x = 84x 42 + 84x = -84 + -33x + 33x Combine like terms: -33x + 33x = 0 42 + 84x = -84 + 0 42 + 84x = -84 Add '-42' to each side of the equation. 42 + -42 + 84x = -84 + -42 Combine like terms: 42 + -42 = 0 0 + 84x = -84 + -42 84x = -84 + -42 Combine like terms: -84 + -42 = -126 84x = -126 Divide each side by '84'. x = -1.5 Simplifying x = -1.5
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