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Simplifying x + -2.5x + 6 + 1.8x = 1.8x + -2.5x + 6.5 Reorder the terms: 6 + x + -2.5x + 1.8x = 1.8x + -2.5x + 6.5 Combine like terms: x + -2.5x = -1.5x 6 + -1.5x + 1.8x = 1.8x + -2.5x + 6.5 Combine like terms: -1.5x + 1.8x = 0.3x 6 + 0.3x = 1.8x + -2.5x + 6.5 Reorder the terms: 6 + 0.3x = 6.5 + 1.8x + -2.5x Combine like terms: 1.8x + -2.5x = -0.7x 6 + 0.3x = 6.5 + -0.7x Solving 6 + 0.3x = 6.5 + -0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7x' to each side of the equation. 6 + 0.3x + 0.7x = 6.5 + -0.7x + 0.7x Combine like terms: 0.3x + 0.7x = 1x 6 + 1x = 6.5 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 6 + 1x = 6.5 + 0.0 6 + 1x = 6.5 Add '-6' to each side of the equation. 6 + -6 + 1x = 6.5 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 6.5 + -6 1x = 6.5 + -6 Combine like terms: 6.5 + -6 = 0.5 1x = 0.5 Divide each side by '1'. x = 0.5 Simplifying x = 0.5
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