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Simplifying 0.5x + -5 = 2.4x + -2.75 Reorder the terms: -5 + 0.5x = 2.4x + -2.75 Reorder the terms: -5 + 0.5x = -2.75 + 2.4x Solving -5 + 0.5x = -2.75 + 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. -5 + 0.5x + -2.4x = -2.75 + 2.4x + -2.4x Combine like terms: 0.5x + -2.4x = -1.9x -5 + -1.9x = -2.75 + 2.4x + -2.4x Combine like terms: 2.4x + -2.4x = 0.0 -5 + -1.9x = -2.75 + 0.0 -5 + -1.9x = -2.75 Add '5' to each side of the equation. -5 + 5 + -1.9x = -2.75 + 5 Combine like terms: -5 + 5 = 0 0 + -1.9x = -2.75 + 5 -1.9x = -2.75 + 5 Combine like terms: -2.75 + 5 = 2.25 -1.9x = 2.25 Divide each side by '-1.9'. x = -1.184210526 Simplifying x = -1.184210526
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