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Simplifying 0.6x + 51 = 42 + -1.4x Reorder the terms: 51 + 0.6x = 42 + -1.4x Solving 51 + 0.6x = 42 + -1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.4x' to each side of the equation. 51 + 0.6x + 1.4x = 42 + -1.4x + 1.4x Combine like terms: 0.6x + 1.4x = 2x 51 + 2x = 42 + -1.4x + 1.4x Combine like terms: -1.4x + 1.4x = 0.0 51 + 2x = 42 + 0.0 51 + 2x = 42 Add '-51' to each side of the equation. 51 + -51 + 2x = 42 + -51 Combine like terms: 51 + -51 = 0 0 + 2x = 42 + -51 2x = 42 + -51 Combine like terms: 42 + -51 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5
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