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Simplifying 0.5x + -6 = 2x + -42 Reorder the terms: -6 + 0.5x = 2x + -42 Reorder the terms: -6 + 0.5x = -42 + 2x Solving -6 + 0.5x = -42 + 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. -6 + 0.5x + -2x = -42 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x -6 + -1.5x = -42 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -1.5x = -42 + 0 -6 + -1.5x = -42 Add '6' to each side of the equation. -6 + 6 + -1.5x = -42 + 6 Combine like terms: -6 + 6 = 0 0 + -1.5x = -42 + 6 -1.5x = -42 + 6 Combine like terms: -42 + 6 = -36 -1.5x = -36 Divide each side by '-1.5'. x = 24 Simplifying x = 24
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