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Simplifying 10x + (2 + 8X) = 4 + -5(3 + -9X) Remove parenthesis around (2 + 8X) 10x + 2 + 8X = 4 + -5(3 + -9X) Reorder the terms: 2 + 8X + 10x = 4 + -5(3 + -9X) 2 + 8X + 10x = 4 + (3 * -5 + -9X * -5) 2 + 8X + 10x = 4 + (-15 + 45X) Combine like terms: 4 + -15 = -11 2 + 8X + 10x = -11 + 45X Solving 2 + 8X + 10x = -11 + 45X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-45X' to each side of the equation. 2 + 8X + -45X + 10x = -11 + 45X + -45X Combine like terms: 8X + -45X = -37X 2 + -37X + 10x = -11 + 45X + -45X Combine like terms: 45X + -45X = 0 2 + -37X + 10x = -11 + 0 2 + -37X + 10x = -11 Add '-2' to each side of the equation. 2 + -37X + -2 + 10x = -11 + -2 Reorder the terms: 2 + -2 + -37X + 10x = -11 + -2 Combine like terms: 2 + -2 = 0 0 + -37X + 10x = -11 + -2 -37X + 10x = -11 + -2 Combine like terms: -11 + -2 = -13 -37X + 10x = -13 Add '-10x' to each side of the equation. -37X + 10x + -10x = -13 + -10x Combine like terms: 10x + -10x = 0 -37X + 0 = -13 + -10x -37X = -13 + -10x Divide each side by '-37'. X = 0.3513513514 + 0.2702702703x Simplifying X = 0.3513513514 + 0.2702702703x
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