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Simplifying 0.5x + -7 = 3x + -12 Reorder the terms: -7 + 0.5x = 3x + -12 Reorder the terms: -7 + 0.5x = -12 + 3x Solving -7 + 0.5x = -12 + 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. -7 + 0.5x + -3x = -12 + 3x + -3x Combine like terms: 0.5x + -3x = -2.5x -7 + -2.5x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + -2.5x = -12 + 0 -7 + -2.5x = -12 Add '7' to each side of the equation. -7 + 7 + -2.5x = -12 + 7 Combine like terms: -7 + 7 = 0 0 + -2.5x = -12 + 7 -2.5x = -12 + 7 Combine like terms: -12 + 7 = -5 -2.5x = -5 Divide each side by '-2.5'. x = 2 Simplifying x = 2
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