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Simplifying 8 + 3(1 + -1x) = 5 + -2(3 + -4x) 8 + (1 * 3 + -1x * 3) = 5 + -2(3 + -4x) 8 + (3 + -3x) = 5 + -2(3 + -4x) Combine like terms: 8 + 3 = 11 11 + -3x = 5 + -2(3 + -4x) 11 + -3x = 5 + (3 * -2 + -4x * -2) 11 + -3x = 5 + (-6 + 8x) Combine like terms: 5 + -6 = -1 11 + -3x = -1 + 8x Solving 11 + -3x = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 11 + -3x + -8x = -1 + 8x + -8x Combine like terms: -3x + -8x = -11x 11 + -11x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 11 + -11x = -1 + 0 11 + -11x = -1 Add '-11' to each side of the equation. 11 + -11 + -11x = -1 + -11 Combine like terms: 11 + -11 = 0 0 + -11x = -1 + -11 -11x = -1 + -11 Combine like terms: -1 + -11 = -12 -11x = -12 Divide each side by '-11'. x = 1.090909091 Simplifying x = 1.090909091
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