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Simplifying 8 + 3(6 + -15x) = 11 + -10x 8 + (6 * 3 + -15x * 3) = 11 + -10x 8 + (18 + -45x) = 11 + -10x Combine like terms: 8 + 18 = 26 26 + -45x = 11 + -10x Solving 26 + -45x = 11 + -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. 26 + -45x + 10x = 11 + -10x + 10x Combine like terms: -45x + 10x = -35x 26 + -35x = 11 + -10x + 10x Combine like terms: -10x + 10x = 0 26 + -35x = 11 + 0 26 + -35x = 11 Add '-26' to each side of the equation. 26 + -26 + -35x = 11 + -26 Combine like terms: 26 + -26 = 0 0 + -35x = 11 + -26 -35x = 11 + -26 Combine like terms: 11 + -26 = -15 -35x = -15 Divide each side by '-35'. x = 0.4285714286 Simplifying x = 0.4285714286
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