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Simplifying 11 + -3x = 2 + -3(1 + -5x) 11 + -3x = 2 + (1 * -3 + -5x * -3) 11 + -3x = 2 + (-3 + 15x) Combine like terms: 2 + -3 = -1 11 + -3x = -1 + 15x Solving 11 + -3x = -1 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 11 + -3x + -15x = -1 + 15x + -15x Combine like terms: -3x + -15x = -18x 11 + -18x = -1 + 15x + -15x Combine like terms: 15x + -15x = 0 11 + -18x = -1 + 0 11 + -18x = -1 Add '-11' to each side of the equation. 11 + -11 + -18x = -1 + -11 Combine like terms: 11 + -11 = 0 0 + -18x = -1 + -11 -18x = -1 + -11 Combine like terms: -1 + -11 = -12 -18x = -12 Divide each side by '-18'. x = 0.6666666667 Simplifying x = 0.6666666667
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