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Simplifying 2.5x + 6 = 6x + -6 Reorder the terms: 6 + 2.5x = 6x + -6 Reorder the terms: 6 + 2.5x = -6 + 6x Solving 6 + 2.5x = -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. 6 + 2.5x + -6x = -6 + 6x + -6x Combine like terms: 2.5x + -6x = -3.5x 6 + -3.5x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -3.5x = -6 + 0 6 + -3.5x = -6 Add '-6' to each side of the equation. 6 + -6 + -3.5x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -3.5x = -6 + -6 -3.5x = -6 + -6 Combine like terms: -6 + -6 = -12 -3.5x = -12 Divide each side by '-3.5'. x = 3.428571429 Simplifying x = 3.428571429
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