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Simplifying 12 + 0.5x = -4 + 2x Solving 12 + 0.5x = -4 + 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. 12 + 0.5x + -2x = -4 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x 12 + -1.5x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -1.5x = -4 + 0 12 + -1.5x = -4 Add '-12' to each side of the equation. 12 + -12 + -1.5x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -1.5x = -4 + -12 -1.5x = -4 + -12 Combine like terms: -4 + -12 = -16 -1.5x = -16 Divide each side by '-1.5'. x = 10.66666667 Simplifying x = 10.66666667
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