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Simplifying 0.5x + 10 = 1.8x + 25.6 Reorder the terms: 10 + 0.5x = 1.8x + 25.6 Reorder the terms: 10 + 0.5x = 25.6 + 1.8x Solving 10 + 0.5x = 25.6 + 1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8x' to each side of the equation. 10 + 0.5x + -1.8x = 25.6 + 1.8x + -1.8x Combine like terms: 0.5x + -1.8x = -1.3x 10 + -1.3x = 25.6 + 1.8x + -1.8x Combine like terms: 1.8x + -1.8x = 0.0 10 + -1.3x = 25.6 + 0.0 10 + -1.3x = 25.6 Add '-10' to each side of the equation. 10 + -10 + -1.3x = 25.6 + -10 Combine like terms: 10 + -10 = 0 0 + -1.3x = 25.6 + -10 -1.3x = 25.6 + -10 Combine like terms: 25.6 + -10 = 15.6 -1.3x = 15.6 Divide each side by '-1.3'. x = -12 Simplifying x = -12
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