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Simplifying 0.5(x + 8) + 1.25 = 10x Reorder the terms: 0.5(8 + x) + 1.25 = 10x (8 * 0.5 + x * 0.5) + 1.25 = 10x (4 + 0.5x) + 1.25 = 10x Reorder the terms: 4 + 1.25 + 0.5x = 10x Combine like terms: 4 + 1.25 = 5.25 5.25 + 0.5x = 10x Solving 5.25 + 0.5x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 5.25 + 0.5x + -10x = 10x + -10x Combine like terms: 0.5x + -10x = -9.5x 5.25 + -9.5x = 10x + -10x Combine like terms: 10x + -10x = 0 5.25 + -9.5x = 0 Add '-5.25' to each side of the equation. 5.25 + -5.25 + -9.5x = 0 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + -9.5x = 0 + -5.25 -9.5x = 0 + -5.25 Combine like terms: 0 + -5.25 = -5.25 -9.5x = -5.25 Divide each side by '-9.5'. x = 0.5526315789 Simplifying x = 0.5526315789
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