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Simplifying 0.5x + -9 = 2x + -36 Reorder the terms: -9 + 0.5x = 2x + -36 Reorder the terms: -9 + 0.5x = -36 + 2x Solving -9 + 0.5x = -36 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + 0.5x + -2x = -36 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x -9 + -1.5x = -36 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + -1.5x = -36 + 0 -9 + -1.5x = -36 Add '9' to each side of the equation. -9 + 9 + -1.5x = -36 + 9 Combine like terms: -9 + 9 = 0 0 + -1.5x = -36 + 9 -1.5x = -36 + 9 Combine like terms: -36 + 9 = -27 -1.5x = -27 Divide each side by '-1.5'. x = 18 Simplifying x = 18
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