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Simplifying 2.1x + 42 = 5.2x + -51 Reorder the terms: 42 + 2.1x = 5.2x + -51 Reorder the terms: 42 + 2.1x = -51 + 5.2x Solving 42 + 2.1x = -51 + 5.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.2x' to each side of the equation. 42 + 2.1x + -5.2x = -51 + 5.2x + -5.2x Combine like terms: 2.1x + -5.2x = -3.1x 42 + -3.1x = -51 + 5.2x + -5.2x Combine like terms: 5.2x + -5.2x = 0.0 42 + -3.1x = -51 + 0.0 42 + -3.1x = -51 Add '-42' to each side of the equation. 42 + -42 + -3.1x = -51 + -42 Combine like terms: 42 + -42 = 0 0 + -3.1x = -51 + -42 -3.1x = -51 + -42 Combine like terms: -51 + -42 = -93 -3.1x = -93 Divide each side by '-3.1'. x = 30 Simplifying x = 30
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