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Simplifying 6x + -40 = 12 + -0.5x Reorder the terms: -40 + 6x = 12 + -0.5x Solving -40 + 6x = 12 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. -40 + 6x + 0.5x = 12 + -0.5x + 0.5x Combine like terms: 6x + 0.5x = 6.5x -40 + 6.5x = 12 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -40 + 6.5x = 12 + 0.0 -40 + 6.5x = 12 Add '40' to each side of the equation. -40 + 40 + 6.5x = 12 + 40 Combine like terms: -40 + 40 = 0 0 + 6.5x = 12 + 40 6.5x = 12 + 40 Combine like terms: 12 + 40 = 52 6.5x = 52 Divide each side by '6.5'. x = 8 Simplifying x = 8
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