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Simplifying X + 12 + 0.5x = 1.5x + -20 + x + 2 Reorder the terms: 12 + X + 0.5x = 1.5x + -20 + x + 2 Reorder the terms: 12 + X + 0.5x = -20 + 2 + 1.5x + x Combine like terms: -20 + 2 = -18 12 + X + 0.5x = -18 + 1.5x + x Combine like terms: 1.5x + x = 2.5x 12 + X + 0.5x = -18 + 2.5x Solving 12 + X + 0.5x = -18 + 2.5x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + X + -12 + 0.5x = -18 + -12 + 2.5x Reorder the terms: 12 + -12 + X + 0.5x = -18 + -12 + 2.5x Combine like terms: 12 + -12 = 0 0 + X + 0.5x = -18 + -12 + 2.5x X + 0.5x = -18 + -12 + 2.5x Combine like terms: -18 + -12 = -30 X + 0.5x = -30 + 2.5x Add '-0.5x' to each side of the equation. X + 0.5x + -0.5x = -30 + 2.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 X + 0.0 = -30 + 2.5x + -0.5x X = -30 + 2.5x + -0.5x Combine like terms: 2.5x + -0.5x = 2x X = -30 + 2x Simplifying X = -30 + 2x
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