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Simplifying 0.5x + -0.4x + -2 = 70 + -3.5x Reorder the terms: -2 + 0.5x + -0.4x = 70 + -3.5x Combine like terms: 0.5x + -0.4x = 0.1x -2 + 0.1x = 70 + -3.5x Solving -2 + 0.1x = 70 + -3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5x' to each side of the equation. -2 + 0.1x + 3.5x = 70 + -3.5x + 3.5x Combine like terms: 0.1x + 3.5x = 3.6x -2 + 3.6x = 70 + -3.5x + 3.5x Combine like terms: -3.5x + 3.5x = 0.0 -2 + 3.6x = 70 + 0.0 -2 + 3.6x = 70 Add '2' to each side of the equation. -2 + 2 + 3.6x = 70 + 2 Combine like terms: -2 + 2 = 0 0 + 3.6x = 70 + 2 3.6x = 70 + 2 Combine like terms: 70 + 2 = 72 3.6x = 72 Divide each side by '3.6'. x = 20 Simplifying x = 20
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