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Simplifying 0.5x + -0.5 + 2 = 6x + -6 Reorder the terms: -0.5 + 2 + 0.5x = 6x + -6 Combine like terms: -0.5 + 2 = 1.5 1.5 + 0.5x = 6x + -6 Reorder the terms: 1.5 + 0.5x = -6 + 6x Solving 1.5 + 0.5x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1.5 + 0.5x + -6x = -6 + 6x + -6x Combine like terms: 0.5x + -6x = -5.5x 1.5 + -5.5x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 1.5 + -5.5x = -6 + 0 1.5 + -5.5x = -6 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -5.5x = -6 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -5.5x = -6 + -1.5 -5.5x = -6 + -1.5 Combine like terms: -6 + -1.5 = -7.5 -5.5x = -7.5 Divide each side by '-5.5'. x = 1.363636364 Simplifying x = 1.363636364
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