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Simplifying 12 + -1x * 2 = 5 + -0.5x Reorder the terms for easier multiplication: 12 + -1 * 2x = 5 + -0.5x Multiply -1 * 2 12 + -2x = 5 + -0.5x Solving 12 + -2x = 5 + -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. 12 + -2x + 0.5x = 5 + -0.5x + 0.5x Combine like terms: -2x + 0.5x = -1.5x 12 + -1.5x = 5 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 12 + -1.5x = 5 + 0.0 12 + -1.5x = 5 Add '-12' to each side of the equation. 12 + -12 + -1.5x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -1.5x = 5 + -12 -1.5x = 5 + -12 Combine like terms: 5 + -12 = -7 -1.5x = -7 Divide each side by '-1.5'. x = 4.666666667 Simplifying x = 4.666666667
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