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Simplifying 2.4x + 49 = 13 + -1.2x Reorder the terms: 49 + 2.4x = 13 + -1.2x Solving 49 + 2.4x = 13 + -1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2x' to each side of the equation. 49 + 2.4x + 1.2x = 13 + -1.2x + 1.2x Combine like terms: 2.4x + 1.2x = 3.6x 49 + 3.6x = 13 + -1.2x + 1.2x Combine like terms: -1.2x + 1.2x = 0.0 49 + 3.6x = 13 + 0.0 49 + 3.6x = 13 Add '-49' to each side of the equation. 49 + -49 + 3.6x = 13 + -49 Combine like terms: 49 + -49 = 0 0 + 3.6x = 13 + -49 3.6x = 13 + -49 Combine like terms: 13 + -49 = -36 3.6x = -36 Divide each side by '3.6'. x = -10 Simplifying x = -10
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