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Simplifying 0.5(x + 0.75) + -10 = 0.75 + 10x Reorder the terms: 0.5(0.75 + x) + -10 = 0.75 + 10x (0.75 * 0.5 + x * 0.5) + -10 = 0.75 + 10x (0.375 + 0.5x) + -10 = 0.75 + 10x Reorder the terms: 0.375 + -10 + 0.5x = 0.75 + 10x Combine like terms: 0.375 + -10 = -9.625 -9.625 + 0.5x = 0.75 + 10x Solving -9.625 + 0.5x = 0.75 + 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. -9.625 + 0.5x + -10x = 0.75 + 10x + -10x Combine like terms: 0.5x + -10x = -9.5x -9.625 + -9.5x = 0.75 + 10x + -10x Combine like terms: 10x + -10x = 0 -9.625 + -9.5x = 0.75 + 0 -9.625 + -9.5x = 0.75 Add '9.625' to each side of the equation. -9.625 + 9.625 + -9.5x = 0.75 + 9.625 Combine like terms: -9.625 + 9.625 = 0.000 0.000 + -9.5x = 0.75 + 9.625 -9.5x = 0.75 + 9.625 Combine like terms: 0.75 + 9.625 = 10.375 -9.5x = 10.375 Divide each side by '-9.5'. x = -1.092105263 Simplifying x = -1.092105263
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