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Simplifying 0.9(6.76 + -5x) = -3.8x (6.76 * 0.9 + -5x * 0.9) = -3.8x (6.084 + -4.5x) = -3.8x Solving 6.084 + -4.5x = -3.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.8x' to each side of the equation. 6.084 + -4.5x + 3.8x = -3.8x + 3.8x Combine like terms: -4.5x + 3.8x = -0.7x 6.084 + -0.7x = -3.8x + 3.8x Combine like terms: -3.8x + 3.8x = 0.0 6.084 + -0.7x = 0.0 Add '-6.084' to each side of the equation. 6.084 + -6.084 + -0.7x = 0.0 + -6.084 Combine like terms: 6.084 + -6.084 = 0.000 0.000 + -0.7x = 0.0 + -6.084 -0.7x = 0.0 + -6.084 Combine like terms: 0.0 + -6.084 = -6.084 -0.7x = -6.084 Divide each side by '-0.7'. x = 8.691428571 Simplifying x = 8.691428571
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