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Simplifying 0.5x + -2.9 = 1.2x + 2.4 Reorder the terms: -2.9 + 0.5x = 1.2x + 2.4 Reorder the terms: -2.9 + 0.5x = 2.4 + 1.2x Solving -2.9 + 0.5x = 2.4 + 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. -2.9 + 0.5x + -1.2x = 2.4 + 1.2x + -1.2x Combine like terms: 0.5x + -1.2x = -0.7x -2.9 + -0.7x = 2.4 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -2.9 + -0.7x = 2.4 + 0.0 -2.9 + -0.7x = 2.4 Add '2.9' to each side of the equation. -2.9 + 2.9 + -0.7x = 2.4 + 2.9 Combine like terms: -2.9 + 2.9 = 0.0 0.0 + -0.7x = 2.4 + 2.9 -0.7x = 2.4 + 2.9 Combine like terms: 2.4 + 2.9 = 5.3 -0.7x = 5.3 Divide each side by '-0.7'. x = -7.571428571 Simplifying x = -7.571428571
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