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Simplifying 2 + -1(5x + -21) = 6(x + -2) Reorder the terms: 2 + -1(-21 + 5x) = 6(x + -2) 2 + (-21 * -1 + 5x * -1) = 6(x + -2) 2 + (21 + -5x) = 6(x + -2) Combine like terms: 2 + 21 = 23 23 + -5x = 6(x + -2) Reorder the terms: 23 + -5x = 6(-2 + x) 23 + -5x = (-2 * 6 + x * 6) 23 + -5x = (-12 + 6x) Solving 23 + -5x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 23 + -5x + -6x = -12 + 6x + -6x Combine like terms: -5x + -6x = -11x 23 + -11x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 23 + -11x = -12 + 0 23 + -11x = -12 Add '-23' to each side of the equation. 23 + -23 + -11x = -12 + -23 Combine like terms: 23 + -23 = 0 0 + -11x = -12 + -23 -11x = -12 + -23 Combine like terms: -12 + -23 = -35 -11x = -35 Divide each side by '-11'. x = 3.181818182 Simplifying x = 3.181818182
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