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Simplifying 0.5x + -8 = 3x + -23 Reorder the terms: -8 + 0.5x = 3x + -23 Reorder the terms: -8 + 0.5x = -23 + 3x Solving -8 + 0.5x = -23 + 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 + 0.5x + -3x = -23 + 3x + -3x Combine like terms: 0.5x + -3x = -2.5x -8 + -2.5x = -23 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -2.5x = -23 + 0 -8 + -2.5x = -23 Add '8' to each side of the equation. -8 + 8 + -2.5x = -23 + 8 Combine like terms: -8 + 8 = 0 0 + -2.5x = -23 + 8 -2.5x = -23 + 8 Combine like terms: -23 + 8 = -15 -2.5x = -15 Divide each side by '-2.5'. x = 6 Simplifying x = 6
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