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Simplifying 0.5x + -8 = 0.10x + -9 Reorder the terms: -8 + 0.5x = 0.10x + -9 Reorder the terms: -8 + 0.5x = -9 + 0.10x Solving -8 + 0.5x = -9 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. -8 + 0.5x + -0.10x = -9 + 0.10x + -0.10x Combine like terms: 0.5x + -0.10x = 0.4x -8 + 0.4x = -9 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 -8 + 0.4x = -9 + 0.00 -8 + 0.4x = -9 Add '8' to each side of the equation. -8 + 8 + 0.4x = -9 + 8 Combine like terms: -8 + 8 = 0 0 + 0.4x = -9 + 8 0.4x = -9 + 8 Combine like terms: -9 + 8 = -1 0.4x = -1 Divide each side by '0.4'. x = -2.5 Simplifying x = -2.5
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