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Simplifying 0.5x + -1.2 = 2.4x + 2.8 Reorder the terms: -1.2 + 0.5x = 2.4x + 2.8 Reorder the terms: -1.2 + 0.5x = 2.8 + 2.4x Solving -1.2 + 0.5x = 2.8 + 2.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4x' to each side of the equation. -1.2 + 0.5x + -2.4x = 2.8 + 2.4x + -2.4x Combine like terms: 0.5x + -2.4x = -1.9x -1.2 + -1.9x = 2.8 + 2.4x + -2.4x Combine like terms: 2.4x + -2.4x = 0.0 -1.2 + -1.9x = 2.8 + 0.0 -1.2 + -1.9x = 2.8 Add '1.2' to each side of the equation. -1.2 + 1.2 + -1.9x = 2.8 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -1.9x = 2.8 + 1.2 -1.9x = 2.8 + 1.2 Combine like terms: 2.8 + 1.2 = 4 -1.9x = 4 Divide each side by '-1.9'. x = -2.105263158 Simplifying x = -2.105263158
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