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Simplifying 2.5x + 6 + -2.5x = 5.7x + -10 + -2.5x Reorder the terms: 6 + 2.5x + -2.5x = 5.7x + -10 + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 6 + 0.0 = 5.7x + -10 + -2.5x 6 = 5.7x + -10 + -2.5x Reorder the terms: 6 = -10 + 5.7x + -2.5x Combine like terms: 5.7x + -2.5x = 3.2x 6 = -10 + 3.2x Solving 6 = -10 + 3.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.2x' to each side of the equation. 6 + -3.2x = -10 + 3.2x + -3.2x Combine like terms: 3.2x + -3.2x = 0.0 6 + -3.2x = -10 + 0.0 6 + -3.2x = -10 Add '-6' to each side of the equation. 6 + -6 + -3.2x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -3.2x = -10 + -6 -3.2x = -10 + -6 Combine like terms: -10 + -6 = -16 -3.2x = -16 Divide each side by '-3.2'. x = 5 Simplifying x = 5
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