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Simplifying 0.6x + 12 + x = 2x + 6 + -0.5x Reorder the terms: 12 + 0.6x + x = 2x + 6 + -0.5x Combine like terms: 0.6x + x = 1.6x 12 + 1.6x = 2x + 6 + -0.5x Reorder the terms: 12 + 1.6x = 6 + 2x + -0.5x Combine like terms: 2x + -0.5x = 1.5x 12 + 1.6x = 6 + 1.5x Solving 12 + 1.6x = 6 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 12 + 1.6x + -1.5x = 6 + 1.5x + -1.5x Combine like terms: 1.6x + -1.5x = 0.1x 12 + 0.1x = 6 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 12 + 0.1x = 6 + 0.0 12 + 0.1x = 6 Add '-12' to each side of the equation. 12 + -12 + 0.1x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 0.1x = 6 + -12 0.1x = 6 + -12 Combine like terms: 6 + -12 = -6 0.1x = -6 Divide each side by '0.1'. x = -60 Simplifying x = -60
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