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Simplifying 5.8 = 10(x) + -11(1 + -1x) 5.8 = 10x + (1 * -11 + -1x * -11) 5.8 = 10x + (-11 + 11x) Reorder the terms: 5.8 = -11 + 10x + 11x Combine like terms: 10x + 11x = 21x 5.8 = -11 + 21x Solving 5.8 = -11 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 5.8 + -21x = -11 + 21x + -21x Combine like terms: 21x + -21x = 0 5.8 + -21x = -11 + 0 5.8 + -21x = -11 Add '-5.8' to each side of the equation. 5.8 + -5.8 + -21x = -11 + -5.8 Combine like terms: 5.8 + -5.8 = 0.0 0.0 + -21x = -11 + -5.8 -21x = -11 + -5.8 Combine like terms: -11 + -5.8 = -16.8 -21x = -16.8 Divide each side by '-21'. x = 0.8 Simplifying x = 0.8
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