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Simplifying 0.5x + -0.5 = 8x + -8 Reorder the terms: -0.5 + 0.5x = 8x + -8 Reorder the terms: -0.5 + 0.5x = -8 + 8x Solving -0.5 + 0.5x = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -0.5 + 0.5x + -8x = -8 + 8x + -8x Combine like terms: 0.5x + -8x = -7.5x -0.5 + -7.5x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 -0.5 + -7.5x = -8 + 0 -0.5 + -7.5x = -8 Add '0.5' to each side of the equation. -0.5 + 0.5 + -7.5x = -8 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -7.5x = -8 + 0.5 -7.5x = -8 + 0.5 Combine like terms: -8 + 0.5 = -7.5 -7.5x = -7.5 Divide each side by '-7.5'. x = 1 Simplifying x = 1
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