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Simplifying -5x + -8.5 = 3x + 4.125 Reorder the terms: -8.5 + -5x = 3x + 4.125 Reorder the terms: -8.5 + -5x = 4.125 + 3x Solving -8.5 + -5x = 4.125 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8.5 + -5x + -3x = 4.125 + 3x + -3x Combine like terms: -5x + -3x = -8x -8.5 + -8x = 4.125 + 3x + -3x Combine like terms: 3x + -3x = 0 -8.5 + -8x = 4.125 + 0 -8.5 + -8x = 4.125 Add '8.5' to each side of the equation. -8.5 + 8.5 + -8x = 4.125 + 8.5 Combine like terms: -8.5 + 8.5 = 0.0 0.0 + -8x = 4.125 + 8.5 -8x = 4.125 + 8.5 Combine like terms: 4.125 + 8.5 = 12.625 -8x = 12.625 Divide each side by '-8'. x = -1.578125 Simplifying x = -1.578125
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